22. Black Holes. Relativistic Length Contraction. Relativistic Time Dilation
|
|
- Chrystal Shields
- 5 years ago
- Views:
Transcription
1 22. Black Holes Einstein s Special Theory of Relativity Einstein s General Theory of Relativity Black holes exist in some binary star systems Supermassive black holes at of galaxy centers Two properties of nonrotating black holes Three properties of rotating black holes Falling into a black hole is an infinite voyage Black holes evaporate Einstein s Special Theory of Relativity Published in 1905 Special It applies only in special circumstances No acceleration or deceleration Relative in contrast to absolute Neither distance nor time are absolute Founded on two basic principles Description of physical reality is always the same Presumes no acceleration (constant velocity) Gravity causes acceleration (gravity is ignored) Speed of light in vacuum is always the same Independent of speed & direction of motion The concept of spacetime By definition, speed = distance per unit time By implication, spacetime is a fourth dimension Changeability & Constancy Things that are changeable Length contraction Length approaches zero as c is approached Time dilation Time nearly stands still as c is approached Mass dilation Mass approaches infinity as c is approached Things that are constant The speed of light in vacuum Independent of any two observers All matter must move less than speed of light Two mutually contradictory phenomena Length would contract to zero Mass would expand to infinity Relativistic Length Contraction Relativistic Time Dilation Einstein s General Theory of Relativity Einstein s geometric theory of gravity Gravity affects the shape of space & the flow of time Spacetime becomes distorted Principle of equivalence All accelerations appear identical Things accelerating relative to a stationary massive object Things accelerating relative to a moving spacecraft
2 Tests of General Relativity Gravitational bending of light Caused by distortions in spacetime First tested in the 1919 total solar eclipse Precession of Mercury s orbit Explained 531 arc-sec / century due to planets Unexplained 43 arc-sec / century due to relativity Gravitational redshift & time dilation Light slowed in gravitational fields Time slowed in gravitational fields Gravitational waves Caused by rapidly oscillating massive objects Not confirmed as of 29 May 2014 Acceleration Equivalence Principle Spacetime Gravitational Curvature Gravitational Deflection of Light A Normal Star The well is closed Precession of Mercury s Orbit One Way to Form a Black Hole Life of a high-mass star Gravity is normal Light escapes the star surface in nearly straight lines Core collapse to a large-diameter neutron star Gravity begins to increase as diameter decreases Light escapes the star surface in slightly curving lines Core collapse to a small-diameter neutron star Gravity increases as diameter decreases Light escapes the star surface in strongly curving lines Core collapse to a black hole Gravity almost infinitely strong as diameter nears 0 Light curves back to the surface, unable to escape The matter continues to collapse forever No kind of pressure can ever stop it
3 The Formation of a Black Hole Curved Spacetime Near a Black Hole A Black Hole The well is open Black Holes in Binary Star Systems The nature of the search Black holes cannot be seen directly No emitted or reflected light can escape Black holes can be detected indirectly Binary star systems are very common A small number of binary systems contain a black hole Kepler s third law tells us the mass of the black hole Some recent successes Cygnus X-1 X-ray flickering as quickly as 0.01 seconds Necessarily < 3,000 km in diameter Possibly gas concentrations in an accretion disk V 404 Cygni Doppler shift confirms orbital period of 6.47 days Unseen companion > 6.26 M A Model of the Cygnus X-1 System Supermassive Black Holes in Galaxies Galactic mass A typical galaxy contains M A tiny fraction of this = A supermassive black hole One example: M87 High-resolution HST Doppler shift measurements Stars orbiting galaxy center at 100 s of km / sec Kepler s third law tells us the mass The galactic center contains ~ M The galactic center is the diameter of the Solar System Dozens of other supermassive black holes identified Analysis of surrounding gas & dust The Milky Way galaxy Our galaxy apparently also has a supermassive black hole Four Kinds of Black Holes Primordial black holes Hypothesized by Stephen Hawking May have formed as part of the Big Bang event Masses ranging from M cloud droplet to M Earth No evidence that they actually exist Stellar-mass black holes Produced during supernova events > 4 M Intermediate-mass black holes Produced by accretion > 10 3 M Supermassive black holes Produced during galaxy birth > 10 6 M
4 Properties of Nonrotating Black Holes These are theoretical objects Virtually all celestial objects rotate They rotate faster as they become smaller Properties of nonrotating black holes A center Singularity Degenerate electron & neutron pressure cannot support it The mass continues to collapse forever It becomes infinitely dense yet ever increasing density A surface Event horizon Maximum distance at which even light cannot escape The Schwarzchild Radius Property of nonrotating black holes Distance from the singularity to the event horizon Considered to be the surface of a black hole Directly proportional to the mass of the black hole R Sch = 2 G M c 2 Geometry of Non-Rotating Black Holes 3 Numbers Describe Black Holes Mass This exerts force that acts over long distances Kepler s third law tells us the mass of the black hole Observe stars orbiting very close to the black hole Electric charge This exerts force that acts over long distances Appropriate instruments on a hypothetical spacecraft Expected to be very nearly zero Number of p + & e in any vicinity is normally about equal Angular momentum This distorts spacetime over long distances Observe gas spiraling into a black hole Virtually all black holes are expected to rotate Everything we observe has some angular momentum Rotating (Kerr) Black Holes Predicted by Roy Kerr 1963 Known angular momentum of high-mass stars Most rotating black holes spin thousands of times per sec. Much faster than the fastest neutron stars Effects of rotating black holes The singularity becomes an infinitely thin ring It is centered on the geometric center of the black hole Spacetime is dragged along Ellipsoidal ergoregion surrounds spherical event horizon An unusual property of rotating black holes The Penrose process Objects skipping off the ergoregion can steal momentum Geometry of a Rotating Black Hole
5 One Concept of a Black Hole Wormholes & Time Machines Einstein & Rosen discover passageways Einstein-Rosen bridges Connect two parallel universes Wormholes Connect two parts of our Universe Problems Powerful gravity causes the passageway to collapse Travel faster than light required to traverse the bridge Pressure may generate antigravity This may support the bridge long enough for travel Time machines Move one end of the wormhole very quickly Generate a time differential between the two ends The problem of violating causality Einstein-Rosen Bridge (Another Universe) A Wormhole (Within Our Universe) Fall Infinitely Into a Black Hole Playing with black holes Seems like a normal star at ~ 1,000 R Sch ~ 1,500 km for a 5.0. M black hole Allow a probe to fall into the black hole Acceleratesinitially when gravitational time slowing small Decelerates later when gravitational time slowing large Seems to take infinitely long to enter the event horizon Tidal forces become overwhelming Probe is stretched out by differential gravity The probe & its atoms are torn apart Probe is squeezed in by force directed to the singularity Strange phenomenon Blurred distinction between space & time Limited ability to move backward in time Limited ability to move backward in space Distortion Falling Into a Black Hole
6 Black Holes Evaporate Basic physical processes Heisenberg uncertainty principle Both location & velocity cannot be known with certainty If one is well known, the other is poorly known Virtual pairs form just outside the event horizon One particle escapes & the other is captured Mass is lost by the black hole Basic properties Black holes have a temperature Measure of the amount of mass lost per unit time This temperature is inversely proportional to mass A kg black hole is effectively ~ K 0.5. M Deimos A kg black hole is effectively ~ 10 7 K 5.0. M Very different results Primordial black holes evaporate very quickly Supermassive black holes evaporate very slowly Mass Evaporation from a Black Hole Special theory of relativity Attempt to understand EMR Acceleration must be zero Foundational principles Description of reality constant Speed of light in vacuum constant Important Concepts Famous predictions E = m. c 2 Length contraction Time & mass dilation Concept of spacetime General theory of relativity Attempt to understand gravity Acceleration may be non-zero Famous predictions Equivalence of all acceleration types Bending of light by massive objects Gravitational redshift Existence of gravity waves Existence of black holes Black holes Primordial, stellar mass, supermassive Non-rotating black holes Point singularity & event horizon Rotating black holes Ring singularity & event horizon Also an ellipsoidal ergoregion Passageways Wormholes to our Universe Einstein-Rosen bridges to other univ. Falling into black holes Tidal stretching toward singularity Squeezing perpendicular to singularity Evaporation of black holes Equivalent of black hole temperature Inversely proportional to mass Primordial bl. holes evaporate quickly
Einstein s Relativity and Black Holes
Einstein s Relativity and Black Holes Guiding Questions 1. What are the two central ideas behind Einstein s special theory of relativity? 2. How do astronomers search for black holes? 3. In what sense
More informationRelativity and Black Holes
Relativity and Black Holes Post-MS Evolution of Very High Mass (>15 M Θ ) Stars similar to high mass except more rapid lives end in Type II supernova explosions main difference: mass of iron core at end
More informationSpecial Relativity. Principles of Special Relativity: 1. The laws of physics are the same for all inertial observers.
Black Holes Special Relativity Principles of Special Relativity: 1. The laws of physics are the same for all inertial observers. 2. The speed of light is the same for all inertial observers regardless
More informationLecture Outlines. Chapter 22. Astronomy Today 8th Edition Chaisson/McMillan Pearson Education, Inc.
Lecture Outlines Chapter 22 Astronomy Today 8th Edition Chaisson/McMillan Chapter 22 Neutron Stars and Black Holes Units of Chapter 22 22.1 Neutron Stars 22.2 Pulsars 22.3 Neutron-Star Binaries 22.4 Gamma-Ray
More informationSyllabus and Schedule for ASTRO 210 (Black Holes)
Black Holes Syllabus and Schedule for ASTRO 210 (Black Holes) The syllabus and schedule for this class are located at: http://chartasg.people.cofc.edu/chartas/teaching.html Gravity is Universal Gravity
More informationASTR 200 : Lecture 21. Stellar mass Black Holes
1 ASTR 200 : Lecture 21 Stellar mass Black Holes High-mass core collapse Just as there is an upper limit to the mass of a white dwarf (the Chandrasekhar limit), there is an upper limit to the mass of a
More informationBlack Holes, or the Monster at the Center of the Galaxy
Black Holes, or the Monster at the Center of the Galaxy Learning Objectives! How do black holes with masses a few times that of our Sun form? How can we observe such black holes?! Where and how might you
More informationNEUTRON STARS, GAMMA RAY BURSTS, and BLACK HOLES (chap. 22 in textbook)
NEUTRON STARS, GAMMA RAY BURSTS, and BLACK HOLES (chap. 22 in textbook) Neutron Stars For carbon detonation SN probably no remnant For core-collapse SN remnant is a neutron-degenerate core neutron star
More information10/25/2010. Stars, Galaxies & the Universe Announcements. Stars, Galaxies & the Universe Lecture Outline. Reading Quiz #9 Wednesday (10/27)
Stars, Galaxies & the Universe Announcements Reading Quiz #9 Wednesday (10/27) HW#8 in ICON due Friday (10/29) by 5 pm - available Wednesday 1 Stars, Galaxies & the Universe Lecture Outline 1. Black Holes
More informationChapter 13 2/19/2014. Lecture Outline Neutron Stars. Neutron Stars and Black Holes Neutron Stars. Units of Chapter
13.1 Neutron Stars Lecture Outline Chapter 13 Neutron Stars and After a Type I supernova, little or nothing remains of the original star. After a Type II supernova, part of the core may survive. It is
More informationBlack Holes -Chapter 21
Black Holes -Chapter 21 The most massive stellar cores If the core is massive enough (~3 M ; total initial mass of star > 25 M or so), even neutron degeneracy pressure can be overwhelmed by gravity. A
More informationSPECIAL RELATIVITY! (Einstein 1905)!
SPECIAL RELATIVITY! (Einstein 1905)! Motivations:! Explaining the results of the Michelson-Morley! experiment without invoking a force exerted! on bodies moving through the aether.! Make the equations
More informationAstronomy 421. Lecture 24: Black Holes
Astronomy 421 Lecture 24: Black Holes 1 Outline General Relativity Equivalence Principle and its Consequences The Schwarzschild Metric The Kerr Metric for rotating black holes Black holes Black hole candidates
More informationASTR Midterm 2 Phil Armitage, Bruce Ferguson
ASTR 1120-001 Midterm 2 Phil Armitage, Bruce Ferguson SECOND MID-TERM EXAM MARCH 21 st 2006: Closed books and notes, 1 hour. Please PRINT your name and student ID on the places provided on the scan sheet.
More informationBlack Holes. Over the top? Black Holes. Gravity s Final Victory. Einstein s Gravity. Near Black holes escape speed is greater than the speed of light
Black Holes Over the top? What if the remnant core is very massive? M core > 2-3 M sun (original star had M > 18 M sun ) Neutron degeneracy pressure fails. Nothing can stop gravitational collapse. Collapses
More informationAstronomy 1 Fall 2016
Astronomy 1 Fall 2016 Lecture 14; November 10, 2016 Previously on Astro 1 Late evolution and death of intermediate-mass stars (about 0.4 M to about 4 M ): red giant when shell hydrogen fusion begins, a
More information7/5. Consequences of the principle of equivalence (#3) 1. Gravity is a manifestation of the curvature of space.
7/5 Consequences of the principle of equivalence (#3) 1. Gravity is a manifestation of the curvature of space. Follow the path of a light pulse in an elevator accelerating in gravityfree space. The dashed
More informationLecture 18 : Black holes. Astronomy 111
Lecture 18 : Black holes Astronomy 111 Gravity's final victory A star more massive than about 18 M sun would leave behind a post-supernova core this is larger than 2-3 M sun :Neutron degeneracy pressure
More informationStellar remnants II. Neutron Stars 10/18/2010. (progenitor star 1.4 < M< 3 Msun) Stars, Galaxies & the Universe Announcements
Stars, Galaxies & the Universe Announcements Exam #2 on Wednesday Review sheet and study guide posted by Thursday Use office hours and Astronomy Tutorial hours Covers material since Exam #1 (plus background
More informationGRAVITATIONAL COLLAPSE
GRAVITATIONAL COLLAPSE Landau and Chandrasekhar first realised the importance of General Relativity for Stars (1930). If we increase their mass and/or density, the effects of gravitation become increasingly
More informationBANG! Structure of a White Dwarf NO energy production gravity = degenerate gas pressure as it cools, becomes Black Dwarf. Lives of High Mass Stars
Structure of a White Dwarf NO energy production gravity = degenerate gas pressure as it cools, becomes Black Dwarf Mass Limit for White Dwarfs S. Chandrasekhar (1983 Nobel Prize) -calculated max. mass
More information11/1/17. Important Stuff (Section 001: 9:45 am) Important Stuff (Section 002, 1:00 pm) 14.1 White Dwarfs. Chapter 14: The Bizarre Stellar Graveyard
11/1/17 Important Stuff (Section 001: 9:45 am) The Second Midterm is Thursday, November 9 The Second Midterm will be given in a different room: Willey 175 Bring 2 pencils and a photo-id. In accordance
More informationSurvey of Astrophysics A110
Black Holes Goals: Understand Special Relativity General Relativity How do we observe black holes. Black Holes A consequence of gravity Massive neutron (>3M ) cannot be supported by degenerate neutron
More informationThe interpretation is that gravity bends spacetime and that light follows the curvature of space.
7/8 General Theory of Relativity GR Two Postulates of the General Theory of Relativity: 1. The laws of physics are the same in all frames of reference. 2. The principle of equivalence. Three statements
More informationNeutron Stars. Neutron Stars and Black Holes. The Crab Pulsar. Discovery of Pulsars. The Crab Pulsar. Light curves of the Crab Pulsar.
Chapter 11: Neutron Stars and Black Holes A supernova explosion of an M > 8 M sun star blows away its outer layers. Neutron Stars The central core will collapse into a compact object of ~ a few M sun.
More information11/1/16. Important Stuff (Section 001: 9:45 am) Important Stuff (Section 002, 1:00 pm) 14.1 White Dwarfs. Chapter 14: The Bizarre Stellar Graveyard
Important Stuff (Section 001: 9:45 am) The Second Midterm is Thursday, November 10 The Second Midterm will be given in a different room: Willey 175 Bring 2 pencils and a photo-id. In accordance with the
More informationCenters of Galaxies. = Black Holes and Quasars
Centers of Galaxies = Black Holes and Quasars Models of Nature: Kepler Newton Einstein (Special Relativity) Einstein (General Relativity) Motions under influence of gravity [23] Kepler The planets move
More informationCharles Keeton. Principles of Astrophysics. Using Gravity and Stellar Physics. to Explore the Cosmos. ^ Springer
Charles Keeton Principles of Astrophysics Using Gravity and Stellar Physics to Explore the Cosmos ^ Springer Contents 1 Introduction: Tools of the Trade 1 1.1 What Is Gravity? 1 1.2 Dimensions and Units
More informationGR and Spacetime 3/20/14. Joys of Black Holes. Compact Companions in Binary Systems. What do we mean by the event horizon of a black hole?
ASTR 1040: Stars & Galaxies Prof. Juri Toomre TA: Ryan Orvedahl Lecture 20 Thur 20 Mar 2014 zeus.colorado.edu/astr1040-toomre Tycho Brahe SNR (1572) Joys of Black Holes Black holes, their general properties,
More informationBlack Holes Thursday, 14 March 2013
Black Holes General Relativity Intro We try to explain the black hole phenomenon by using the concept of escape velocity, the speed to clear the gravitational field of an object. According to Newtonian
More informationTest #3 Next Tuesday, Nov. 8 Bring your UNM ID! Bring two number 2 pencils. Announcements. Review for test on Monday, Nov 7 at 3:25pm
Test #3 Next Tuesday, Nov. 8 Bring your UNM ID! Bring two number 2 pencils Announcements Review for test on Monday, Nov 7 at 3:25pm Neutron Star - Black Hole merger Review for Test #3 Nov 8 Topics: Stars
More informationNature of Black Holes and Space-Time around Them
Nature of Black Holes and Space-Time around Them Amir Ali Tavajoh 1 1 _Amir_ali3640@yahoo.com Abstract Based on the Mach s principle, black holes warp the space time in a way that geodesic for every object
More informationAstronomy Ch. 22 Neutron Stars and Black Holes. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Name: Period: Date: Astronomy Ch. 22 Neutron Stars and Black Holes MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) In a neutron star, the core
More informationChapter 18 The Bizarre Stellar Graveyard
Chapter 18 The Bizarre Stellar Graveyard 18.1 White Dwarfs Our goals for learning What is a white dwarf? What can happen to a white dwarf in a close binary system? What is a white dwarf? White Dwarfs White
More informationChapter 26. Relativity
Chapter 26 Relativity Time Dilation The vehicle is moving to the right with speed v A mirror is fixed to the ceiling of the vehicle An observer, O, at rest in this system holds a laser a distance d below
More informationManifestations of General Relativity. Relativity and Astrophysics Lecture 32 Terry Herter
Manifestations of General elativity elativity and Astrophysics Lecture 32 Terry Herter Outline Consequences of General elativity Tests of G Escape Velocity => Black holes Black holes Size, Event Horizon,
More informationAstronomy 182: Origin and Evolution of the Universe
Astronomy 182: Origin and Evolution of the Universe Prof. Josh Frieman Lecture 6 Oct. 28, 2015 Today Wrap up of Einstein s General Relativity Curved Spacetime Gravitational Waves Black Holes Relativistic
More informationGravity: What s the big attraction? Dan Wilkins Institute of Astronomy
Gravity: What s the big attraction? Dan Wilkins Institute of Astronomy Overview What is gravity? Newton and Einstein What does gravity do? Extreme gravity The true power of gravity Getting things moving
More informationChapter 14. Outline. Neutron Stars and Black Holes. Note that the following lectures include. animations and PowerPoint effects such as
Note that the following lectures include animations and PowerPoint effects such as fly ins and transitions that require you to be in PowerPoint's Slide Show mode (presentation mode). Chapter 14 Neutron
More informationEvolution of High Mass stars
Evolution of High Mass stars Neutron Stars A supernova explosion of a M > 8 M Sun star blows away its outer layers. The central core will collapse into a compact object of ~ a few M Sun. Pressure becomes
More informationThe phenomenon of gravitational lenses
The phenomenon of gravitational lenses The phenomenon of gravitational lenses If we look carefully at the image taken with the Hubble Space Telescope, of the Galaxy Cluster Abell 2218 in the constellation
More informationGENERAL RELATIVITY. The presence of matter affects 4-space.
GENERAL RELATIVITY Whereas Special Relativity is the study of constant velocity motion, General Relativity is associated with situations in which accelerations exist. As gravitation produces acceleration,
More informationMr Green sees the shorter, straight, green path and Mr. Red sees the longer, curved, red path.
Mr Green sees the shorter, straight, green path and Mr. Red sees the longer, curved, red path. In an accelerated frame, time runs slow compared to a non-accelerated frame. The Equivalence Principle tells
More informationBeyond Our Solar System Chapter 24
Beyond Our Solar System Chapter 24 PROPERTIES OF STARS Distance Measuring a star's distance can be very difficult Stellar parallax Used for measuring distance to a star Apparent shift in a star's position
More information18.3 Black Holes: Gravity's Ultimate Victory
18.3 Black Holes: Gravity's Ultimate Victory Our goals for learning: What is a black hole? What would it be like to visit a black hole? Do black holes really exist? What is a black hole? Gravity, Newton,
More informationASTR 200 : Lecture 30. More Gravity: Tides, GR, and Gravitational Waves
ASTR 200 : Lecture 30 More Gravity: Tides, GR, and Gravitational Waves 1 Topic One : Tides Differential tidal forces on the Earth. 2 How do tides work???? Think about 3 billiard balls sitting in space
More informationBlack Holes. Class 17 Prof J. Kenney June 19, 2018
Black Holes Class 17 Prof J. Kenney June 19, 2018 basic structure of (non-rotating) black hole basic structure of (non-rotating) black hole SINGULARITY: all the mass of the black hole is crushed to incredibly
More informationEinstein s Gravity. Understanding space-time and the gravitational effects of mass
Einstein s Gravity Understanding space-time and the gravitational effects of mass Albert Einstein (1879-1955) One of the iconic figures of the 20 th century, Einstein revolutionized our understanding of
More informationChapter 18 Reading Quiz Clickers. The Cosmic Perspective Seventh Edition. The Bizarre Stellar Graveyard Pearson Education, Inc.
Reading Quiz Clickers The Cosmic Perspective Seventh Edition The Bizarre Stellar Graveyard 18.1 White Dwarfs What is a white dwarf? What can happen to a white dwarf in a close binary system? What supports
More informationBlack Holes. Jan Gutowski. King s College London
Black Holes Jan Gutowski King s College London A Very Brief History John Michell and Pierre Simon de Laplace calculated (1784, 1796) that light emitted radially from a sphere of radius R and mass M would
More information! If someone falls into a black hole, they will get pulled apart.! They turn into a stream of sub-atomic particles.! Human into spaghetti.
This Class (Lecture 26): Compact Objects in the Solar System Next Class: The Milky Way! Maybe black holes aren t black! Hawking radiation! We have strong evidence of black holes! If a compact object enters
More informationBlack Holes. By Alexander Bamert and Jay Bober
Black Holes By Alexander Bamert and Jay Bober History In 1939, J. Robert Oppenheimer and Hartland Snyder calculated the first models of neutron stars Proceeded to question what would happen when a star
More informationNeutron Stars. Chapter 14: Neutron Stars and Black Holes. Neutron Stars. What s holding it up? The Lighthouse Model of Pulsars
Neutron Stars Form from a 8-20 M Sun star Chapter 14: Neutron Stars and Black Holes Leftover 1.4-3 M Sun core after supernova Neutron Stars consist entirely of neutrons (no protons) Neutron Star (tennis
More informationChapter 18 Lecture. The Cosmic Perspective Seventh Edition. The Bizarre Stellar Graveyard Pearson Education, Inc.
Chapter 18 Lecture The Cosmic Perspective Seventh Edition The Bizarre Stellar Graveyard The Bizarre Stellar Graveyard 18.1 White Dwarfs Our goals for learning: What is a white dwarf? What can happen to
More informationWhite dwarfs are the remaining cores of dead stars. Electron degeneracy pressure supports them against the crush of gravity. The White Dwarf Limit
The Bizarre Stellar Graveyard Chapter 18 Lecture The Cosmic Perspective 18.1 White Dwarfs Our goals for learning: What is a white dwarf? What can happen to a white dwarf in a close binary system? Seventh
More informationChapter 14: The Bizarre Stellar Graveyard
Lecture Outline Chapter 14: The Bizarre Stellar Graveyard 14.1 White Dwarfs Our goals for learning: What is a white dwarf? What can happen to a white dwarf in a close binary system? What is a white dwarf?
More informationOutline. Black Holes. Schwartzchild radius River Model of a Black Hole Light in orbit Tidal forces
Outline Black Holes Schwartzchild radius River Model of a Black Hole Light in orbit Tidal forces Black Holes Black Holes What happens as the star shrinks / its mass increases? How much can spacetime be
More informationAstronomy in the news? GOCE crash?
Monday, November 11, 2013 Exam 4 Friday. Review sheet posted. Review session Thursday, 5 6 PM, WRW 102 Reading: Chapter 9: all except 9.6.3, 9.6.4 Chapter 10, Sections 10.1-10.6, 10.9 Astronomy in the
More informationASTR 200 : Lecture 31. More Gravity: Tides, GR, and Gravitational Waves
ASTR 200 : Lecture 31 More Gravity: Tides, GR, and Gravitational Waves 1 Topic One : Tides Differential tidal forces on the Earth. 2 How do tides work???? Think about 3 billiard balls sitting in space
More informationNeutron Stars, Black Holes, Pulsars and More
Neutron Stars, Black Holes, Pulsars and More October 30, 2002 1) Star Clusters 2) Type II Supernova 3) Neutron Stars 4) Black Holes 5) More Gravity Announcements Extra Credit there is an extra credit assignment
More informationLecture 23: Black Holes Readings: Sections 24-3, 24-5 through 24-8
Lecture 23: Black Holes Readings: Sections 24-3, 24-5 through 24-8 Key Ideas Black Holes are totally collapsed objects Gravity so strong not even light can escape Predicted by General Relativity Schwarzschild
More informationNeutron Stars. Properties of Neutron Stars. Formation of Neutron Stars. Chapter 14. Neutron Stars and Black Holes. Topics for Today s Class
Foundations of Astronomy 13e Seeds Phys1403 Introductory Astronomy Instructor: Dr. Goderya Chapter 14 Neutron Stars and Black Holes Cengage Learning 2016 Topics for Today s Class Neutron Stars What is
More informationChapter 18 The Bizarre Stellar Graveyard. White Dwarfs. What is a white dwarf? Size of a White Dwarf White Dwarfs
Chapter 18 The Bizarre Stellar Graveyard 18.1 White Dwarfs Our goals for learning What is a white dwarf? What can happen to a white dwarf in a close binary system? What is a white dwarf? White Dwarfs White
More informationGravity Waves and Black Holes
Gravity Waves and Black Holes Mike Whybray Orwell Astronomical Society (Ipswich) 14 th March 2016 Overview Introduction to Special and General Relativity The nature of Black Holes What to expect when Black
More information8/30/2010. Classifying Stars. Classifying Stars. Classifying Stars
Classifying Stars In the early 1900s, Ejnar Hertzsprung and Henry Russell made some important observations. They noticed that, in general, stars with higher temperatures also have brighter absolute magnitudes.
More informationA100 Exploring the Universe: Black holes. Martin D. Weinberg UMass Astronomy
A100 Exploring the Universe: Black holes Martin D. Weinberg UMass Astronomy weinberg@astro.umass.edu October 30, 2014 Read: S2, S3, Chap 18 10/30/14 slide 1 Sizes of s The solar neighborhood visualized!
More informationBlack Holes. Theory & Astrophysics. Kostas Glampedakis
Black Holes Theory & Astrophysics Kostas Glampedakis Contents Part I: Black hole theory. Part II: Celestial mechanics in black hole spacetimes. Part III: Energy extraction from black holes. Part IV: Astrophysical
More informationASTR 101 General Astronomy: Stars & Galaxies. NEXT Tuesday 4/4 MIDTERM #2
ASTR 101 General Astronomy: Stars & Galaxies NEXT Tuesday 4/4 MIDTERM #2 The Stellar Graveyard What s In The Stellar Graveyard? Lower mass stars (M< 8M sun ) à white dwarfs Gravity vs. electron degeneracy
More informationGeneral Relativity. In GR, mass (or energy) warps the spacetime fabric of space.
General Relativity Einstein s theory of General Relativity is a theory of gravity The basic idea is to drop Newton s idea of a mysterious force between masses and replace it with the 4-dimensional SpaceTime
More informationAstronomy Hour Exam 2 March 10, 2011 QUESTION 1: The half-life of Ra 226 (radium) is 1600 years. If you started with a sample of 100 Ra 226
Astronomy 101.003 Hour Exam 2 March 10, 2011 QUESTION 1: The half-life of Ra 226 (radium) is 1600 years. If you started with a sample of 100 Ra 226 atoms, approximately how many Ra 226 atoms would be left
More informationBlack Holes and Curved Space-time. Paths of Light and Matter. The Principle of Equivalence. Implications of Gravity Bending Light
Black Holes and Curved Space-time When a massive star collapses at the end of its life, it can become a black hole A black is an object that is so massive that light cannot escape from it The theory that
More informationChapter 13: The Stellar Graveyard
Chapter 13: The Stellar Graveyard Habbal Astro110 http://chandra.harvard.edu/photo/2001/1227/index.html Chapter 13 Lecture 26 1 Low mass star High mass (>8 M sun ) star Ends as a white dwarf. Ends in a
More informationLife and Evolution of a Massive Star. M ~ 25 M Sun
Life and Evolution of a Massive Star M ~ 25 M Sun Birth in a Giant Molecular Cloud Main Sequence Post-Main Sequence Death The Main Sequence Stars burn H in their cores via the CNO cycle About 90% of a
More informationBlack Holes. Robert M. Wald
Black Holes Robert M. Wald Black Holes Black Holes: A black hole is a region of spacetime where gravity is so strong that nothing not even light that enters that region can ever escape from it. Michell
More informationBlack Holes in Terms of Escape Velocity. Agenda for Ast 309N, Nov. 27. How Big is the Event Horizon? The Anatomy of a (Simple) Black Hole
Agenda for Ast 309N, Nov. 27 Black Holes in Terms of Escape Velocity Optional HW 3 - due now; Quiz 8 Thursday Next week: repeat survey (Tues), Exam 3 (Thurs) Feedback on black hole index cards Black hole
More informationThe Stellar Graveyard
ASTR 101 General Astronomy: Stars & Galaxies The Stellar Graveyard NEXT Thursday 10/22: MIDTERM #2 What s In The Stellar Graveyard? Lower mass stars (M< 8Msun)! white dwarfs Gravity vs. electron degeneracy
More informationChapter 13 Notes The Deaths of Stars Astronomy Name: Date:
Chapter 13 Notes The Deaths of Stars Astronomy Name: Date: I. The End of a Star s Life When all the fuel in a star is used up, will win over pressure and the star will die nuclear fuel; gravity High-mass
More informationPrentice Hall EARTH SCIENCE
Prentice Hall EARTH SCIENCE Tarbuck Lutgens Chapter 25 Beyond Our Solar System 25.1 Properties of Stars Characteristics of Stars A constellation is an apparent group of stars originally named for mythical
More informationWhat is a Black Hole?
What is a Black Hole? Robert H. Gowdy Virginia Commonwealth University December 2016 Bob G (VCU) Black Holes December 2016 1 / 29 Black Holes Bob G (VCU) Black Holes December 2016 2 / 29 Overview Spacetime
More informationEarth Science, 13e Tarbuck & Lutgens
Earth Science, 13e Tarbuck & Lutgens Beyond Our Solar System Earth Science, 13e Chapter 24 Stanley C. Hatfield Southwestern Illinois College Properties of stars Distance Distances to the stars are very
More informationNot only does God definitely play dice, but He sometimes confuses us by throwing them where they can't be seen. Stephen W. Hawking
https://apod.nasa.gov/apod/ap141026.html http://www.hawking.org.uk/does-god-play-dice.html Black Holes Not only does God definitely play dice, but He sometimes confuses us by throwing them where they can't
More informationCosmology, Galaxies, and Stars OUR VISIBLE UNIVERSE
Cosmology, Galaxies, and Stars OUR VISIBLE UNIVERSE Cosmology Cosmology is the study of the universe; its nature, origin and evolution. General Relativity is the mathematical basis of cosmology from which
More informationStellar corpses. SESAME Astronomy Winter 2011 Week 7. Thursday, February 24, 2011
Stellar corpses SESAME Astronomy Winter 2011 Week 7 1 1 Warning! YOU ARE ABOUT TO SEE TRIPPY, MIND- BLOWING STUFF! PREPARE TO BE BLOWN AWAY! 2 2 3 types White Dwarfs (Dwarves?) low-mass stars Neutron Stars
More informationNovember 24, Energy Extraction from Black Holes. T. Daniel Brennan. Special Relativity. General Relativity. Black Holes.
from November 24, 2014 1 2 3 4 5 Problem with Electricity and Magnetism In the late 1800 s physicists realized there was a problem with electromagnetism: the speed of light was given in terms of fundamental
More information21. Neutron Stars. The Crab Pulsar: On & Off. Intensity Variations of a Pulsar
21. Neutron Stars Neutron stars were proposed in the 1930 s Pulsars were discovered in the 1960 s Pulsars are rapidly rotating neutron stars Pulsars slow down as they age Neutron stars are superfluid &
More informationChapter 21 Astronomy Today 7th Edition Chaisson/McMillan
Lecture Outlines Chapter 21 Astronomy Today 7th Edition Chaisson/McMillan Chapter 21 Stellar Explosions Units of Chapter 21 21.1 Life after Death for White Dwarfs 21.2 The End of a High-Mass Star 21.3
More informationEinstein, Black Holes and the Discovery of Gravitational Waves. Malcolm Longair University of Cambridge
Einstein, Black Holes and the Discovery of Gravitational Waves Malcolm Longair University of Cambridge Programme What are Black holes? Astronomical Evidence What are Gravitational Waves? The LIGO experiment
More informationThe Nature of Pulsars! Agenda for Ast 309N, Nov. 1. To See or Not to See (a Pulsar) The Slowing & Fading of Pulsars!
Agenda for Ast 309N, Nov. 1 Quiz 7 Card 10/30 feedback More on pulsars and other neutron stars Begin: the saga of interacting binary systems Card: questions for review Reading: - Kaler, ch. 7 Wheeler,
More informationNeutron Stars, Pulsars, Magnetars, and Black Holes the corpses of high-mass stars
Neutron Stars, Pulsars, Magnetars, and Black Holes the corpses of high-mass stars Combination X-ray & visible light image of the Crab Nebula Pulsar From Chandra X-ray Observatory and Hubble Space Telescope
More informationAccretion Disks. Review: Stellar Remnats. Lecture 12: Black Holes & the Milky Way A2020 Prof. Tom Megeath 2/25/10. Review: Creating Stellar Remnants
Lecture 12: Black Holes & the Milky Way A2020 Prof. Tom Megeath Review: Creating Stellar Remnants Binaries may be destroyed in white dwarf supernova Binaries be converted into black holes Review: Stellar
More informationOverview of Stellar Evolution
Overview of Stellar Evolution Walter Baade 1893-1960 With Fritz Zwicky first proposed that neutron stars could be formed by supernovae in 1934 Iron core collapse E+p->n+ Degenerate neutrons limit size
More informationSpace and Time Before Einstein. The Problem with Light. Admin. 11/2/17. Key Concepts: Lecture 28: Relativity
Admin. 11/2/17 1. Class website http://www.astro.ufl.edu/~jt/teaching/ast1002/ 2. Optional Discussion sections: Tue. ~11.30am (period 5), Bryant 3; Thur. ~12.30pm (end of period 5 and period 6), start
More informationA Plunge Into a Black Hole. A black hole is a region of space-time from which nothing can escape, even light.
A Plunge Into a Black Hole A black hole is a region of space-time from which nothing can escape, even light. Gravity in Newtonian physics m F = G mm 2 r M Escape condition: Kinetic Energy K Gravitational
More informationA Plunge Into a Black Hole
A Plunge Into a Black Hole A black hole is a region of space-time from which nothing can escape, even light. Gravity in Newtonian physics m F = G mm r M Escape condition: Kinetic Energy K Gravitational
More informationAstronomy. Chapter 15 Stellar Remnants: White Dwarfs, Neutron Stars, and Black Holes
Astronomy Chapter 15 Stellar Remnants: White Dwarfs, Neutron Stars, and Black Holes are hot, compact stars whose mass is comparable to the Sun's and size to the Earth's. A. White dwarfs B. Neutron stars
More informationEnergy Source for Active Galactic Nuclei
Quasars Quasars are small, extremely luminous, extremely distant galactic nuclei Bright radio sources Name comes from Quasi-Stellar Radio Source, as they appeared to be stars! Can have clouds of gas near
More informationCHAPTER 14 II Stellar Evolution
14-5. Supernova CHAPTER 14 II Stellar Evolution Exactly which stars become supernovae is not yet clear, but more than likely they are massive stars that become highly evolved. A star that develops an iron
More informationChapter 33 The History of a Star. Introduction. Radio telescopes allow us to look into the center of the galaxy. The milky way
Chapter 33 The History of a Star Introduction Did you read chapter 33 before coming to class? A. Yes B. No You can see about 10,000 stars with the naked eye. The milky way Radio telescopes allow us to
More informationAstronomy 122 Outline
Astronomy 122 Outline This Class (Lecture 19): Black Holes Next Class: The Milkyway Last Nightlab tonight! HW7 due on Friday. Mar Lecture report due in discussion class on April 5 th th. Nightlab report
More informationThe Stellar Graveyard
ASTR 1120 General Astronomy: Stars & Galaxies The Stellar Graveyard!EXT $ursday 10/15: #IDTERM #2!EXT Tuesday 10/20: "!earching for distant world"# GO DIRECTLY TO THE PLANETARIUM What s In The Stellar
More information