baryons+dm radiation+neutrinos vacuum curvature
|
|
- Shanna Lee
- 5 years ago
- Views:
Transcription
1 baryons+dm radiation+neutrinos vacuum curvature
2 DENSITY ISN T DESTINY! The cosmologist T-shirt (if Λ>0):
3 ΩM,0=0.9 ΩΛ,0=1.6 ΩR=0 ΩM,0=2.5 ΩM,0=2.0 ΩΛ,0=0.1 ΩM,0=2.0
4 TODAY Baryons 10 t0 68% Dark Energy 5% Dark Matter 27% Dark Energy 24% Radiation Z=1100 Baryons 12% 100% Dark Matter 64%
5 COSMOLOGY WITH SUPERNOVAE
6 ΩM+ΩΛ=1
7 COSMOLOGY WITH THE CMB
8 ECHOS FROM THE BIG BANG COBE As the Universe expands and cools down, the energy spectrum of the CMB continues to correspond to a thermal distribution, but one with even lower temperature.. launched Nov C F The CMB is the most accurate Planck curve ever measured. Physicists in their labs cannot make a better blackbody!
9 cold spot: T= K hot spot: T= K The WMAP all sky map, after removal of the radiation coming from Milky Way disk.
10 How to Measure the CMB Power Spectrum 1.Measure <T> inside a circular region of diameter θ degrees centered on a random spot. 2.Repeat this for many random spots. 3.Measure the variance (`scatter ) in these average temperatures. This is the power on a scale of θ degrees. 4.Repeat steps 1-3 for different values of θ. The power as a function of θ is called the power spectrum. Planck
11 This analysis reveals a series of harmonically related peaks at distances of 0.1 to 1, indicative of gravity-driven pressure waves in the original cosmic hot plasma. Planck
12 These gravity-driven pressure waves which propagated in the early universe have some of the characteristics of acoustic waves generated in the air inside the resonating cavity of a musical instrument in that they have a fundamental frequency and higher harmonics.
13 THE MUSIC OF THE CMB The power spectrum of the CMB is based on the two-dimensional distribution of pressure waves on the surface of a sphere of radius 380,000 light years. Recall that these pressure waves were propagating through a three dimensional volume until recombination, when their image was frozen onto the last scattering surface, which we now see from the inside out. Timbre is the sound quality that allows us to distinguish a flute from a clarinet from a bagpipe from an organ pipe, even if they are all playing the same pitch at the same volume. It is the audible manifestation of the power spectrum of an instrument. The power spectrum of an instrument is a like a fingerprint which distinguishes it from other instruments, and depends on the characteristic properties of the instrument: the material it is made of, its size and shape, whether it is a wind or string, among others.
14
15 Best cosmological model (Planck, k=0) as of 2015! EdS
16 Note that, if dark energy Λ, then: can get acceleration with an energy density that decreases with time! phantom energy Big Rip! singularity in the future! Planck 2018: wde=-1.03±0.03 Λ! If w 1, the coincidence between the observed vacuum energy and the current matter density appears completely unnatural, as the relative balance of vacuum and matter changes rapidly as the Universe expands:
17 As a consequence, at early times the vacuum energy was negligible in comparison to matter, while at late times matter is negligible. There is only a brief epoch of the Universe's history during which it would be possible to witness the transition from domination by one type of component to another. It seems remarkable that we live during the short transitional period between these two eras. Let us compute Ωi(a) as
18 WHO ORDERED THIS? ΩR ΩM Ω Λ e
19 The approximate coincidence between matter and vacuum energies in the current Universe is one of several puzzling features of the composition of the total energy density. Another great surprise is the comparable magnitudes of the baryon density and the density of cold non-baryonic dark matter, and perhaps also that in massive neutrinos. In our current understanding, these components are relics of completely unrelated processes in the very early Universe, and there seems to be no good reason why they should be of the same order of magnitude. The real world seems to be a more rich and complex place than Occam s razor might have predicted. It is important to keep in mind, however, the crucial distinction between the coincidences relating the various matter components and that relating the matter and vacuum energy: the former are set once and for all by primordial processes and remain unchanged as the Universe evolves, while the latter holds true only during a certain era.
20 2. Using Friedmann equation show that, if Ω M,0 =0.2 now, Ω M (z) at z =9(the redshift of the most distant galaxy) was equal to (assume Ω Λ =0.7). In a open Universe, Ω K,0 =1 Ω M,0 Ω Λ,0.Friedmannequationatredshiftz (scale factor a) canbewrittenas: H 2 = H 2 0 [Ω M,0/a 3 +Ω K,0 /a 2 +Ω Λ,0 ]. The matter density parameter at a is then: Ω M (a) = ρ M(a) ρ crit (a) = ρ M,0 /a 3 ρ crit (0)(H 2 /H 2 0 ) = Ω M,0 /a 3 [Ω M,0 /a 3 +Ω K,0 /a 2 +Ω Λ,0 ]. For a =0.1 andω M,0 =0.2 thisexpressiongivesω M (a) =
21
22
23
24 Written in 300 BC, Euclid s Elements is the most influential works in the history of mathematics: 13 books, studied for 24 centuries, 2nd only to the Bible in the number of editions published (>1000)!
25 It is impossible to derive the Parallel Postulate from the first four. The numerous (and failed) attempts to do that gave rise to a slew of statements equivalent to the postulate itself: 1. There exists a pair of similar noncongruent triangles. 2. There exists a pair of straight lines everywhere equidistant from one another. 3. For any three noncollinear points, there exists a circle passing through them. 4. If three angles of a quadrilateral are right angles, then the fourth angle is also a right angle. 5. If a straight line intersects one of two parallels it will intersect the other. 6. Straight lines parallel to a third line are parallel to each other. 7. Two straight lines that intersect one another cannot be parallel to a third line. 8. There is no upper limit to the area of a triangle. The last one seems especially intuitive. The reverse holds in non- Euclidean geometries of Lobachevsky and Riemann. Lewis Carroll (mathematicians and author of Alice in Wonderland) could not accept this assertion and considered it as a proof of the contradictory nature of non-euclidean geometries.
26 Euclidean flat geometry: 1) the angles of a triangle add up to 180 o. 2) the circumference of a circle of radius r is equal to 2πr. Riemann (a student of Gauss) On the hypotheses which lie at the foundation of geometry (1868): 1) Euclid s final axiom was an arbitrary choice. 2) founded non-euclidean geometries which are the mathematical foundation of Einstein s GR. Simplest non-euclidean geometry is spherical (or elliptical) k>0: 1) Unlike the case of a flat geometry (k=0), the spherical surface is finite in extent (its area being 4πr 2 ), and yet there is no boundary or edge. If we draw parallel lines on the surface of the Earth, then they violate Euclid's final axiom.
27 2) The definition of a straight line is the shortest distance between two points (geodesic), which means that the straight lines in spherical geometry are segments of great circles, such as the equator or the lines of longitude. 3) If you draw a triangle on a sphere, we find that the angles do not add up to 180 o either: start at the North Pole, draw two great circles down towards the equator, 90 o apart, and then join them with a line at the equator. You have drawn a triangle in which all 3 angles are 90 o. 4) The circumference of a circle of radius r is smaller than 2πr.
28 Hyperbolic (saddle-shaped) geometry k<0: 1) In a hyperbolic geometry, parallel lines never meet in fact they break Euclid's axiom by diverging away from one another. Because parallel lines never meet, such a Universe must be infinite in extent, just an in the flat case. 2) The angles of a triangle add up to less than 180 o. 3) The circumference of a circle of radius r is greater than 2πr.
29 Gravity according to GR is caused by a warping of space-time: THE WAY OF NEWTON: Matter tells gravity how to exert a force (F=-GMm/r 2 ); Force tells mass how to accelerate (F=ma). THE WAY OF EINSTEIN: Matter-energy (stress-energy tensor) tells spacetime how to curve. Curved space-time tells mass-energy how to move.
30
31 Global Positioning System. The satellites making up the GPS system contain atomic clocks which broadcast a time signal, and the rate at which those clocks tick has to be adjusted to take general relativity into account. Without the relativistic correction, the clocks would drift by some +38 (+45 from GR -7 from SR) microseconds a day, corresponding to 11 km of position uncertainty. As the system works to give you your position on the Earth to within a few meters, we know that the relativistic correction works, and thus general relativity is correct.
baryons+dm radiation+neutrinos vacuum curvature
baryons+dm radiation+neutrinos vacuum curvature DENSITY ISN T DESTINY! The cosmologist T-shirt (if Λ>0): ΩM,0=0.9 Ω Λ,0 =1.6 ΩM,0=2.5 ΩM,0=2.0 Ω Λ,0 =0.1 ΩM,0=2.0 http://map.gsfc.nasa.gov/resources/camb_tool/cmb_plot.swf
More information26. Cosmology. Significance of a dark night sky. The Universe Is Expanding
26. Cosmology Significance of a dark night sky The Universe is expanding The Big Bang initiated the expanding Universe Microwave radiation evidence of the Big Bang The Universe was initially hot & opaque
More informationCosmology: The Origin and Evolution of the Universe Chapter Twenty-Eight. Guiding Questions
Cosmology: The Origin and Evolution of the Universe Chapter Twenty-Eight Guiding Questions 1. What does the darkness of the night sky tell us about the nature of the universe? 2. As the universe expands,
More informationModeling the Universe A Summary
Modeling the Universe A Summary Questions to Consider 1. What does the darkness of the night sky tell us about the nature of the universe? 2. As the universe expands, what, if anything, is it expanding
More informationChapter 17 Cosmology
Chapter 17 Cosmology Over one thousand galaxies visible The Universe on the Largest Scales No evidence of structure on a scale larger than 200 Mpc On very large scales, the universe appears to be: Homogenous
More informationLecture 34. General relativity
Lecture 34 The Shape of Space General Relativity Curvature of Space Critical Density Dark Energy Apr 17, 2006 Astro 100 Lecture 34 1 General relativity So far, just needed simple Newton's Gravity. Because
More informationCosmology. Assumptions in cosmology Olber s paradox Cosmology à la Newton Cosmology à la Einstein Cosmological constant Evolution of the Universe
Cosmology Assumptions in cosmology Olber s paradox Cosmology à la Newton Cosmology à la Einstein Cosmological constant Evolution of the Universe Assumptions in Cosmology Copernican principle: We do not
More informationLecture 05. Cosmology. Part I
Cosmology Part I What is Cosmology Cosmology is the study of the universe as a whole It asks the biggest questions in nature What is the content of the universe: Today? Long ago? In the far future? How
More informationFURTHER COSMOLOGY Book page T H E M A K E U P O F T H E U N I V E R S E
FURTHER COSMOLOGY Book page 675-683 T H E M A K E U P O F T H E U N I V E R S E COSMOLOGICAL PRINCIPLE Is the Universe isotropic or homogeneous? There is no place in the Universe that would be considered
More informationLecture 03. The Cosmic Microwave Background
The Cosmic Microwave Background 1 Photons and Charge Remember the lectures on particle physics Photons are the bosons that transmit EM force Charged particles interact by exchanging photons But since they
More informationThe Early Universe: A Journey into the Past
Gravity: Einstein s General Theory of Relativity The Early Universe A Journey into the Past Texas A&M University March 16, 2006 Outline Gravity: Einstein s General Theory of Relativity Galileo and falling
More informationGalaxies 626. Lecture 3: From the CMBR to the first star
Galaxies 626 Lecture 3: From the CMBR to the first star Galaxies 626 Firstly, some very brief cosmology for background and notation: Summary: Foundations of Cosmology 1. Universe is homogenous and isotropic
More informationThe Early Universe John Peacock ESA Cosmic Vision Paris, Sept 2004
The Early Universe John Peacock ESA Cosmic Vision Paris, Sept 2004 The history of modern cosmology 1917 Static via cosmological constant? (Einstein) 1917 Expansion (Slipher) 1952 Big Bang criticism (Hoyle)
More informationThe Early Universe: A Journey into the Past
The Early Universe A Journey into the Past Texas A&M University March 16, 2006 Outline Galileo and falling bodies Galileo Galilei: all bodies fall at the same speed force needed to accelerate a body is
More informationAstr 2320 Thurs. May 7, 2015 Today s Topics Chapter 24: New Cosmology Problems with the Standard Model Cosmic Nucleosynthesis Particle Physics Cosmic
Astr 2320 Thurs. May 7, 2015 Today s Topics Chapter 24: New Cosmology Problems with the Standard Model Cosmic Nucleosynthesis Particle Physics Cosmic Inflation Galaxy Formation 1 Chapter 24: #3 Chapter
More informationOlbers Paradox. Lecture 14: Cosmology. Resolutions of Olbers paradox. Cosmic redshift
Lecture 14: Cosmology Olbers paradox Redshift and the expansion of the Universe The Cosmological Principle Ω and the curvature of space The Big Bang model Primordial nucleosynthesis The Cosmic Microwave
More informationA5682: Introduction to Cosmology Course Notes. 2. General Relativity
2. General Relativity Reading: Chapter 3 (sections 3.1 and 3.2) Special Relativity Postulates of theory: 1. There is no state of absolute rest. 2. The speed of light in vacuum is constant, independent
More informationCosmology. An Analogy 11/28/2010. Cosmology Study of the origin, evolution and future of the Universe
Cosmology Cosmology Study of the origin, evolution and future of the Universe Obler s Paradox If the Universe is infinite why is the sky dark at night? Newtonian Universe The Universe is infinite and unchanging
More informationA brain teaser: The anthropic principle! Last lecture I said Is cosmology a science given that we only have one Universe? Weak anthropic principle: "T
Observational cosmology: The Friedman equations 1 Filipe B. Abdalla Kathleen Lonsdale Building G.22 http://zuserver2.star.ucl.ac.uk/~hiranya/phas3136/phas3136 A brain teaser: The anthropic principle! Last
More informationFlat Geometry. Spherical Geometry
The Geometry of the Universe What does the constant k in the Friedmann equation really mean? In this lecture we will follow Chapter 4 of Liddle to show that it has close connections with the geometry of
More informationCosmology ASTR 2120 Sarazin. Hubble Ultra-Deep Field
Cosmology ASTR 2120 Sarazin Hubble Ultra-Deep Field Cosmology - Da Facts! 1) Big Universe of Galaxies 2) Sky is Dark at Night 3) Isotropy of Universe Cosmological Principle = Universe Homogeneous 4) Hubble
More informationAST5220 lecture 2 An introduction to the CMB power spectrum. Hans Kristian Eriksen
AST5220 lecture 2 An introduction to the CMB power spectrum Hans Kristian Eriksen Cosmology in ~five slides The basic ideas of Big Bang: 1) The Big Bang model The universe expands today Therefore it must
More informationDark Universe II. The shape of the Universe. The fate of the Universe. Old view: Density of the Universe determines its destiny
Dark Universe II Prof. Lynn Cominsky Dept. of Physics and Astronomy Sonoma State University Modifications by H. Geller November 2007 11/27/2007 Prof. Lynn Cominsky 2 Dark Energy and the Shape of the Universe
More informationImplications of the Hubble Law: - it is not static, unchanging - Universe had a beginning!! - could not have been expanding forever HUBBLE LAW:
Cosmology and the Evolution of the Universe Edwin Hubble, 1929: -almost all galaxies have a redshift -moving away from us -greater distance greater redshift Implications of the Hubble Law: - Universe is
More informationCosmology and the Evolution of the Universe. Implications of the Hubble Law: - Universe is changing (getting bigger!) - it is not static, unchanging
Cosmology and the Evolution of the Edwin Hubble, 1929: -almost all galaxies have a redshift -moving away from us -exceptions in Local Group -with distance measurements - found a relationship greater distance
More informationIntroduction. How did the universe evolve to what it is today?
Cosmology 8 1 Introduction 8 2 Cosmology: science of the universe as a whole How did the universe evolve to what it is today? Based on four basic facts: The universe expands, is isotropic, and is homogeneous.
More informationAST5220 lecture 2 An introduction to the CMB power spectrum. Hans Kristian Eriksen
AST5220 lecture 2 An introduction to the CMB power spectrum Hans Kristian Eriksen Cosmology in ~five slides The basic ideas of Big Bang: 1) The Big Bang model The universe expands today Therefore it must
More informationCosmology. Jörn Wilms Department of Physics University of Warwick.
Cosmology Jörn Wilms Department of Physics University of Warwick http://astro.uni-tuebingen.de/~wilms/teach/cosmo Contents 2 Old Cosmology Space and Time Friedmann Equations World Models Modern Cosmology
More informationLecture 09. The Cosmic Microwave Background. Part II Features of the Angular Power Spectrum
The Cosmic Microwave Background Part II Features of the Angular Power Spectrum Angular Power Spectrum Recall the angular power spectrum Peak at l=200 corresponds to 1o structure Exactly the horizon distance
More informationAstronomy 182: Origin and Evolution of the Universe
Astronomy 182: Origin and Evolution of the Universe Prof. Josh Frieman Lecture 11 Nov. 13, 2015 Today Cosmic Microwave Background Big Bang Nucleosynthesis Assignments This week: read Hawley and Holcomb,
More informationIsland Universes. Up to 1920 s, many thought that Milky Way encompassed entire universe.
Island Universes Up to 1920 s, many thought that Milky Way encompassed entire universe. Observed three types of nebulas (clouds): - diffuse, spiral, elliptical - many were faint, indistinct - originally
More informationDark Universe II. Prof. Lynn Cominsky Dept. of Physics and Astronomy Sonoma State University
Dark Universe II Prof. Lynn Cominsky Dept. of Physics and Astronomy Sonoma State University Dark Universe Part II Is the universe "open" or "closed? How does dark energy change our view of the history
More informationThe Search for the Complete History of the Cosmos. Neil Turok
The Search for the Complete History of the Cosmos Neil Turok * The Big Bang * Dark Matter and Energy * Precision Tests * A Cyclic Universe? * Future Probes BIG Questions * What are the Laws of Nature?
More informationClosed Universes, de Sitter Space and Inflation
Closed Universes, de Sitter Space and Inflation Chris Doran Cavendish Laboratory Based on astro-ph/0307311 by Lasenby and Doran The Cosmological Constant Dark energy responsible for around 70% of the total
More informationn=0 l (cos θ) (3) C l a lm 2 (4)
Cosmic Concordance What does the power spectrum of the CMB tell us about the universe? For that matter, what is a power spectrum? In this lecture we will examine the current data and show that we now have
More informationThese two lengths become equal when m is the Planck mass. And when this happens, they both equal the Planck length!
THE BIG BANG In relativistic classical field theories of gravitation, particularly general relativity, an energy condition is one of various alternative conditions which can be applied to the matter content
More informationi>clicker Quiz #14 Which of the following statements is TRUE?
i>clicker Quiz #14 Which of the following statements is TRUE? A. Hubble s discovery that most distant galaxies are receding from us tells us that we are at the center of the Universe B. The Universe started
More informationClimbing Mount Olympus : Geometry as Pathway to the Universe
Climbing Mount Olympus : Geometry as Pathway to the Universe Rien van de Weygaert Kapteyn Institute, University Groningen, Ολάνδία ΙΔΙΣΥΕΕΠ conference, Θεσσαλονικη, Δεκεμβριου 5-7, 2003 Cosmology: the
More informationCosmology Dark Energy Models ASTR 2120 Sarazin
Cosmology Dark Energy Models ASTR 2120 Sarazin Late Homeworks Last day Wednesday, May 1 My mail box in ASTR 204 Maximum credit 50% unless excused (but, better than nothing) Final Exam Thursday, May 2,
More informationA5682: Introduction to Cosmology Course Notes. 11. CMB Anisotropy
Reading: Chapter 8, sections 8.4 and 8.5 11. CMB Anisotropy Gravitational instability and structure formation Today s universe shows structure on scales from individual galaxies to galaxy groups and clusters
More informationIf there is an edge to the universe, we should be able to see our way out of the woods. Olber s Paradox. This is called Olber s Paradox
Suppose the Universe were not expanding, but was in some kind of steady state. How should galaxy recession velocities correlate with distance? They should a) be directly proportional to distance. b) reverse
More informationThe early and late time acceleration of the Universe
The early and late time acceleration of the Universe Tomo Takahashi (Saga University) March 7, 2016 New Generation Quantum Theory -Particle Physics, Cosmology, and Chemistry- @Kyoto University The early
More informationA5682: Introduction to Cosmology Course Notes. 11. CMB Anisotropy
Reading: Chapter 9, sections 9.4 and 9.5 11. CMB Anisotropy Gravitational instability and structure formation Today s universe shows structure on scales from individual galaxies to galaxy groups and clusters
More informationChapter 22 Lecture. The Cosmic Perspective. Seventh Edition. The Birth of the Universe Pearson Education, Inc.
Chapter 22 Lecture The Cosmic Perspective Seventh Edition The Birth of the Universe The Birth of the Universe 22.1 The Big Bang Theory Our goals for learning: What were conditions like in the early universe?
More informationBrief Introduction to Cosmology
Brief Introduction to Cosmology Matias Zaldarriaga Harvard University August 2006 Basic Questions in Cosmology: How does the Universe evolve? What is the universe made off? How is matter distributed? How
More informationLecture 37 Cosmology [not on exam] January 16b, 2014
1 Lecture 37 Cosmology [not on exam] January 16b, 2014 2 Structure of the Universe Does clustering of galaxies go on forever? Looked at very narrow regions of space to far distances. On large scales the
More informationKinetic Theory of Dark Energy within General Relativity
Kinetic Theory of Dark Energy within General Relativity Author: Nikola Perkovic* percestyler@gmail.com University of Novi Sad, Faculty of Sciences, Institute of Physics and Mathematics Abstract: This paper
More informationCosmology: An Introduction. Eung Jin Chun
Cosmology: An Introduction Eung Jin Chun Cosmology Hot Big Bang + Inflation. Theory of the evolution of the Universe described by General relativity (spacetime) Thermodynamics, Particle/nuclear physics
More information13/01/2017. the. Big Bang. Friedmann, Lemaitre. Cosmic Expansion History
13/01/2017 the Big Bang Friedmann, Lemaitre & Cosmic Expansion History 1 Alexander Friedmann (1888 1925) George Lemaitre (1894 1966) They discovered (independently) theoretically the expansion of the Universe
More informationThe Expanding Universe
Cosmology Expanding Universe History of the Universe Cosmic Background Radiation The Cosmological Principle Cosmology and General Relativity Dark Matter and Dark Energy Primitive Cosmology If the universe
More informationHubble's Law. H o = 71 km/s / Mpc. The further a galaxy is away, the faster it s moving away from us. V = H 0 D. Modern Data.
Cosmology Cosmology is the study of the origin and evolution of the Universe, addressing the grandest issues: How "big" is the Universe? Does it have an "edge"? What is its large-scale structure? How did
More informationVU lecture Introduction to Particle Physics. Thomas Gajdosik, FI & VU. Big Bang (model)
Big Bang (model) What can be seen / measured? basically only light _ (and a few particles: e ±, p, p, ν x ) in different wave lengths: microwave to γ-rays in different intensities (measured in magnitudes)
More informationLicia Verde. Introduction to cosmology. Lecture 4. Inflation
Licia Verde Introduction to cosmology Lecture 4 Inflation Dividing line We see them like temperature On scales larger than a degree, fluctuations were outside the Hubble horizon at decoupling Potential
More informationRelativity, Gravitation, and Cosmology
Relativity, Gravitation, and Cosmology A basic introduction TA-PEI CHENG University of Missouri St. Louis OXFORD UNIVERSITY PRESS Contents Parti RELATIVITY Metric Description of Spacetime 1 Introduction
More informationConcordance Cosmology and Particle Physics. Richard Easther (Yale University)
Concordance Cosmology and Particle Physics Richard Easther (Yale University) Concordance Cosmology The standard model for cosmology Simplest model that fits the data Smallest number of free parameters
More informationA100 Exploring the Universe Big Bang Theory and the Early Universe. Martin D. Weinberg UMass Astronomy
A100 Exploring the Universe and the Martin D. Weinberg UMass Astronomy astron100-mdw@courses.umass.edu December 02, 2014 Read: Chap 23 12/04/14 slide 1 Assignment on Chaps 22 23, at the end of next week,
More informationCosmology. What is Cosmology?
Cosmology What is Cosmology? The study of the structure and evolution of the entire universe The idea is to form picture of the entire Universe: origin, size, and future We will make assumptions that what
More informationCosmology: Building the Universe.
Cosmology: Building the Universe. The term has several different meanings. We are interested in physical cosmology - the study of the origin and development of the physical universe, and all the structure
More informationModern Cosmology April 4, Lecture 3 1
The Age of Precision Cosmology Can we see the Big Bang? What s s our Universe made of? The Cooling Universe Expanding cooling (diluting energy content): must ve been really hot early on You can t begin
More informationThe Big Bang. Olber s Paradox. Hubble s Law. Why is the night sky dark? The Universe is expanding and We cannot see an infinite Universe
The Big Bang Olber s Paradox Why is the night sky dark? The Universe is expanding and We cannot see an infinite Universe Hubble s Law v = H0 d v = recession velocity in km/sec d = distance in Mpc H 0 =
More informationThe Millennium Simulation: cosmic evolution in a supercomputer. Simon White Max Planck Institute for Astrophysics
The Millennium Simulation: cosmic evolution in a supercomputer Simon White Max Planck Institute for Astrophysics The COBE satellite (1989-1993) Two instruments made maps of the whole sky in microwaves
More informationCosmology. Chapter 18. Cosmology. Observations of the Universe. Observations of the Universe. Motion of Galaxies. Cosmology
Cosmology Chapter 18 Cosmology Cosmology is the study of the structure and evolution of the Universe as a whole How big is the Universe? What shape is it? How old is it? How did it form? What will happen
More informationRedshift-Distance Relationships
Redshift-Distance Relationships George Jones April 4, 0. Distances in Cosmology This note considers two conceptually important definitions of cosmological distances, look-back distance and proper distance.
More informationThe Concept of Inflation
The Concept of Inflation Introduced by Alan Guth, circa 1980, to provide answers to the following 5 enigmas: 1. horizon problem. How come the cosmic microwave background radiation is so uniform in very
More informationEl Universo en Expansion. Juan García-Bellido Inst. Física Teórica UAM Benasque, 12 Julio 2004
El Universo en Expansion Juan García-Bellido Inst. Física Teórica UAM Benasque, 12 Julio 2004 5 billion years (you are here) Space is Homogeneous and Isotropic General Relativity An Expanding Universe
More informationLecture #25: Plan. Cosmology. The early Universe (cont d) The fate of our Universe The Great Unanswered Questions
Lecture #25: Plan Cosmology The early Universe (cont d) The fate of our Universe The Great Unanswered Questions Announcements Course evaluations: CourseEvalUM.umd.edu Review sheet #3 was emailed to you
More informationInflation; the Concordance Model
Duke Physics 55 Spring 2007 Inflation; the Concordance Model Lecture #31: OUTLINE BDSV Chapter 23.3, 23.4 Inflation of the Early Universe: Solving the structure problem Solving the horizon problem Solving
More informationSpecial & General Relativity
Special & General Relativity ASTR/PHYS 4080: Intro to Cosmology Week 2 1 Special Relativity: no ether Presumes absolute space and time, light is a vibration of some medium: the ether 2 Equivalence Principle(s)
More informationStructure. Subodh Patil NBIA Nov Formation in the Universe From the Big Bang to the Big Rip?
Structure Subodh Patil NBIA Nov 19 2018 Formation in the Universe From the Big Bang to the Big Rip? Physicists like to think in terms of characteristic scales the `typical size of something or some process.
More informationAstronomy 182: Origin and Evolution of the Universe
Astronomy 182: Origin and Evolution of the Universe Prof. Josh Frieman Lecture 14 Dec. 2, 2015 Today The Inflationary Universe Origin of Density Perturbations Gravitational Waves Origin and Evolution of
More informationIntroduction to Cosmology
Introduction to Cosmology João G. Rosa joao.rosa@ua.pt http://gravitation.web.ua.pt/cosmo LECTURE 2 - Newtonian cosmology I As a first approach to the Hot Big Bang model, in this lecture we will consider
More informationCosmology. Thornton and Rex, Ch. 16
Cosmology Thornton and Rex, Ch. 16 Expansion of the Universe 1923 - Edwin Hubble resolved Andromeda Nebula into separate stars. 1929 - Hubble compared radial velocity versus distance for 18 nearest galaxies.
More informationThe Physics Behind the Cosmic Microwave Background
The Physics Behind the Cosmic Microwave Background Without question, the source of the most precise information about the universe as a whole and about its early state is the cosmic microwave background
More informationThe Early Universe and the Big Bang
The Early Universe and the Big Bang Class 24 Prof J. Kenney June 28, 2018 Final Exam: Friday June 29 at 2-5pm in Watson A48 What the Final Exam will emphasize: Classroom lectures 10-24 (starting FRI June
More informationCosmic Microwave Background. Eiichiro Komatsu Guest Lecture, University of Copenhagen, May 19, 2010
Cosmic Microwave Background Eiichiro Komatsu Guest Lecture, University of Copenhagen, May 19, 2010 1 Cosmology: The Questions How much do we understand our Universe? How old is it? How big is it? What
More informationChapter 18. Cosmology. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Chapter 18 Cosmology Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Cosmology Cosmology is the study of the structure and evolution of the Universe as a whole
More informationAstroparticle physics the History of the Universe
Astroparticle physics the History of the Universe Manfred Jeitler and Wolfgang Waltenberger Institute of High Energy Physics, Vienna TU Vienna, CERN, Geneva Wintersemester 2016 / 2017 1 The History of
More informationAy1 Lecture 17. The Expanding Universe Introduction to Cosmology
Ay1 Lecture 17 The Expanding Universe Introduction to Cosmology 17.1 The Expanding Universe General Relativity (1915) A fundamental change in viewing the physical space and time, and matter/energy Postulates
More informationWhat can we Learn from the Cosmic Microwave Background
What can we Learn from the Cosmic Microwave Background Problem Set #3 will be due in part on April 8 and in full on April 11 Solutions to Problem Set #2 are online... graded versions soon Again I m asking
More informationAnnouncements. Homework. Set 8now open. due late at night Friday, Dec 10 (3AM Saturday Nov. 11) Set 7 answers on course web site.
Homework. Set 8now. due late at night Friday, Dec 10 (3AM Saturday Nov. 11) Set 7 answers on course web site. Review for Final. In class on Thursday. Course Evaluation. https://rateyourclass.msu.edu /
More informationPHY326/426:Lecture 19
PHY326/426:Lecture 19 Dark Energy Finish WIMP signals Evidence for Dark Energy Type Ia Supernovae What is Dark Energy The fate of the Universe The Distance-Redshift relation Recall from lecture 2: The
More informationChapter 26: Cosmology
Chapter 26: Cosmology Cosmology means the study of the structure and evolution of the entire universe as a whole. First of all, we need to know whether the universe has changed with time, or if it has
More informationReally, really, what universe do we live in?
Really, really, what universe do we live in? Fluctuations in cosmic microwave background Origin Amplitude Spectrum Cosmic variance CMB observations and cosmological parameters COBE, balloons WMAP Parameters
More information4.3 The accelerating universe and the distant future
Discovering Astronomy : Galaxies and Cosmology 46 Figure 55: Alternate histories of the universe, depending on the mean density compared to the critical value. The left hand panel shows the idea graphically.
More informationModern Cosmology Solutions 4: LCDM Universe
Modern Cosmology Solutions 4: LCDM Universe Max Camenzind October 29, 200. LCDM Models The ansatz solves the Friedmann equation, since ȧ = C cosh() Ωm sinh /3 H 0 () () ȧ 2 = C 2 cosh2 () sinh 2/3 () (
More informationPHYM432 Relativity and Cosmology 17. Cosmology Robertson Walker Metric
PHYM432 Relativity and Cosmology 17. Cosmology Robertson Walker Metric Cosmology applies physics to the universe as a whole, describing it s origin, nature evolution and ultimate fate. While these questions
More informationLecture 8: Curved Spaces
EPGY Summer Institute Special and General Relativity 2012 Lecture 8: Curved Spaces With the necessity of curved geodesics within regions with significant energy or mass concentrations we need to understand
More informationTa-Pei Cheng PCNY 9/16/2011
PCNY 9/16/2011 Ta-Pei Cheng For a more quantitative discussion, see Relativity, Gravitation & Cosmology: A Basic Introduction (Oxford Univ Press) 2 nd ed. (2010) dark matter & dark energy Astronomical
More informationA100H Exploring the Universe: Big Bang Theory. Martin D. Weinberg UMass Astronomy
A100H Exploring the : Martin D. Weinberg UMass Astronomy astron100h-mdw@courses.umass.edu April 21, 2016 Read: Chap 23 04/26/16 slide 1 Early Final Exam: Friday 29 Apr at 10:30 am 12:30 pm, here! Emphasizes
More informationChapter 27: The Early Universe
Chapter 27: The Early Universe The plan: 1. A brief survey of the entire history of the big bang universe. 2. A more detailed discussion of each phase, or epoch, from the Planck era through particle production,
More informationOrigin of the Universe
Origin of the Universe Shortcomings of the Big Bang Model There is tremendous evidence in favor of the Big Bang Cosmic Microwave Background Radiation Abundance of Deuterium, Helium, Lithium, all cooked
More informationTheory of General Relativity
Theory of General Relativity Expansion on the concept of Special relativity Special: Inertial perspectives are Equivalent (unaccelerated) General: All perspectives are equivalent Let s go back to Newton
More informationTHE PRIMORDIAL FIREBALL. Joe Silk (IAP, CEA, JHU)
THE PRIMORDIAL FIREBALL Joe Silk (IAP, CEA, JHU) CONTENTS OF THE UNIVERSE Albert Einstein Georges Lemaitre Alexander Friedmann George Gamow Fred Hoyle 1930 Albert Einstein Edwin Hubble velocity 1929: Hubble
More informationLecture 14: Cosmological Principles
Lecture 14: Cosmological Principles The basic Cosmological Principles The geometry of the Universe The scale factor R and curvature constant k Comoving coordinates Einstein s initial solutions 3/28/11
More informationThe Higgs field as the Origin of the Big Bang The first second of the Universe (and the following years!)
The Higgs field as the Origin of the Big Bang The first second of the Universe (and the following 13.700.000.000 years!) Daniel G. Figueroa CERN, Theory Division Cosmology = Study of the Universe as a
More informationContents. Part I The Big Bang and the Observable Universe
Contents Part I The Big Bang and the Observable Universe 1 A Historical Overview 3 1.1 The Big Cosmic Questions 3 1.2 Origins of Scientific Cosmology 4 1.3 Cosmology Today 7 2 Newton s Universe 13 2.1
More informationAstro-2: History of the Universe
Astro-2: History of the Universe Lecture 8; May 7 2013 Previously on astro-2 Wherever we look in the sky there is a background of microwaves, the CMB. The CMB is very close to isotropic better than 0.001%
More informationLecture Outlines. Chapter 26. Astronomy Today 8th Edition Chaisson/McMillan Pearson Education, Inc.
Lecture Outlines Chapter 26 Astronomy Today 8th Edition Chaisson/McMillan Chapter 26 Cosmology Units of Chapter 26 26.1 The Universe on the Largest Scales 26.2 The Expanding Universe 26.3 The Fate of the
More informationAssignments. Read all (secs ) of DocOnotes-cosmology. HW7 due today; accepted till Thurs. w/ 5% penalty
Assignments Read all (secs. 25-29) of DocOnotes-cosmology. HW7 due today; accepted till Thurs. w/ 5% penalty Term project due last day of class, Tues. May 17 Final Exam Thurs. May 19, 3:30 p.m. here Olber
More informationModern Cosmology / Scott Dodelson Contents
Modern Cosmology / Scott Dodelson Contents The Standard Model and Beyond p. 1 The Expanding Universe p. 1 The Hubble Diagram p. 7 Big Bang Nucleosynthesis p. 9 The Cosmic Microwave Background p. 13 Beyond
More information