The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond. Clifford Will Washington University, St. Louis
|
|
- Baldwin Berry
- 5 years ago
- Views:
Transcription
1 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Clifford Will Washington University, St. Louis Testing GR with Astrophysical Systems May 17, 2012
2 Counting Gravitational Hair The 3 Stooges: Moe, Curly & Larry ( )
3 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Introduction - what is hair? Counting scalar hair in the solar system Counting Earth s Newtonian hair with GRACE Counting Earth s J-hair o Gravity Probe B o LAGEOS Counting hair at the galactic center Testing GR with Astrophysical Systems, May 17, 2012
4 External potentials of charge and mass distributions Electromagnetism (axisymmetric body) A i : : e r i r 2 DP 1 (cos ) Q 2 P 2 (cos ) r 2 r 3 M 2 P i 2 (cos ) r 3 Newtonian gravity (axisymmetric body) U : M r Q MR j Q 2 P 2 (cos ) Q 3 P 3 (cos ) r 3 r 4 Earth: j 2 = X 10-4, j 3 = 9.6 X 10-7, j 4 = 5.4 X 10-7,
5 General relativistic hair Exterior geometry any stationary, axisymmetric body: g 00 : M Q 2 P 2 (cos ) Q 3 P 3 (cos ) r r 3 r 4 g 0 : J J 2 P 2 (cos ) J 3 P 3 (cos ) r 2 r 3 Black holes have no hair r 4 Q ij M(ia) Hansen 1974 Q 2 Ma 2 J 2 /M Q 0 J 1 a J M J / M
6 Scalar hair In scalar-tensor theories of gravity: g 00 : M T r M S M K r M K M T g ij : rr M S M T M T M S M S For non-relativistic bodies M S M T 1 2
7 Penrose (1970) - conjecture at 5th Texas Symposium Thorne & Dykla (1971) - scalar field radiated away, in accord with Price s theorem Hawking (1972) - stationary, vacuum black holes in BD = GR black holes CMW (1981) - BBH the same at 1PN order Sotiriou & Faraoni (2011) - extended Hawking theorem to general ST & f(r) theories Mirshekari & CMW (2012) - BBH the same at 2.5PN order Black holes have no scalar hair Basic idea: scalar field outside black holes must be constant (M S =0)
8 Binary Black Holes: Are the Scalar- Tensor and General Relativistic Conjecture 2.0: Versions Indistinguishable? Following an initial transient period << the orbital period, the orbital evolution and gravitational radiation from BBH in ST theory* are identical to those predicted by GR, after a mass rescaling, independent of the initial scalar field configuration *Assumptions 1. Scalar-tensor theory with no potential 2. Vacuum asymptotically flat spacetime 3. Asymptotic constant in time 4. 2 black holes with non-singular event horizons
9 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Introduction - what is hair? Counting scalar hair in the solar system Counting Earth s Newtonian hair with GRACE Counting Earth s J-hair o Gravity Probe B o LAGEOS Counting hair at the galactic center Testing GR with Astrophysical Systems, May 17, 2012
10 Bounding the scalar hair of the sun M S M T 10 5
11 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Introduction - what is hair? Counting scalar hair in the solar system Counting Earth s Newtonian hair with GRACE Counting Earth s J-hair o Gravity Probe B o LAGEOS Counting hair at the galactic center Testing GR with Astrophysical Systems, May 17, 2012
12 Measuring the Earth s Newtonian hair Gravity Recovery And Climate Experiment (GRACE) Earth: j (5) X = X 10, j (1) X = 9.6 X 10-7, j (4) X = 5.4 X 10-7, j 360 = 3.2 (5) X 10-10
13 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Introduction - what is hair? Counting scalar hair in the solar system Counting Earth s Newtonian hair with GRACE Counting Earth s J-hair o Gravity Probe B o LAGEOS Counting hair at the galactic center Testing GR with Astrophysical Systems, May 17, 2012
14 Gravity Probe B: Measuring Earth s J Launch April 20, 2004 Mission ended Sept 2005 Result announced May
15 Gravity Probe B: The Experiment -- Gyroscopes Disclosure: CMW chaired NASA s Science Advisory Committee for GPB ( )
16 Gravity Probe B: The final science result The main error source Patch effect misalignment torques
17 Gravity Probe B: The final science result Measured Predicted Geodetic Precession (mas) Frame-Dragging (mas) 6602 ± ±
18 LAGEOS: Measuring Earth s J NewEarth models from GRACE are essential
19 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Introduction - what is hair? Counting scalar hair in the solar system Counting Earth s Newtonian hair with GRACE Counting Earth s J-hair o Gravity Probe B o LAGEOS Counting hair at the galactic center Testing GR with Astrophysical Systems, May 17, 2012
20 Counting hair on the galactic center black hole SgrA* No hair theorems: M L + ij L = M(ia) L J = Ma; Q = -Ma 2 relativistic effects: periholion advance, redshift Doppler shifts, Shapiro delays Frame dragging (J) and quadrupole moment (Q) produce precessions of planes
21 Using Orbit plane precessions to count the hair on SgrA* i M J * A M 6 A J 4 M a (1 e 2 ) J M 2 M a (1 e 2 ) 3 / 2 Q dirt A Q 3 Q M 3 M a (1 e 2 ) 2 a/m > 0.5 P ~ 0.1 yr, d < 10-3 pc, e ~ 0.9 => Precessions ~ 10 as/yr CMW, Ap J Lett. 647, L25 (2008)
22 The observational challenge 4 mpc GRAVITY: near IR adaptive optics instrument for the Very Large Telescope Interferometer 1 mpc.1 mpc QuickTime and a TIFF (Uncompressed) decompressor are needed to see this picture. ASTRA: extending the Keck interferometer
23 Effect of other stars/bh in the central mpc 10 stars (1M o ) & 11 BH (10M o ) within 4 mpc 100 realizations isotropic, mass segregated J/M 2 = 1 Numerical N-body simulations: D. Merritt, T. Alexander, S. Mikkola, & CMW, PRD 81, (2010) Analytic orbit perturbation theory: L. Sadeghian & CMW, CQG 28, (2011)
24 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Introduction - what is hair? Counting scalar hair in the solar system Counting Earth s Newtonian hair with GRACE Counting Earth s J-hair o Gravity Probe B o LAGEOS Counting hair at the galactic center Testing GR with Astrophysical Systems, May 17, 2012
25 The Cosmic Barber: Counting Gravitational Hair in the Solar System and beyond Coming Fall 2012 Clifford Will University of Florida, Gainesville Testing GR with Astrophysical Systems May 17, 2012
26
Measuring the Whirling of Spacetime
Measuring the Whirling of Spacetime Lecture series on Experimental Gravity (revised version) Kostas Glampedakis Prologue: does spin gravitate? M 1 M 2 System I: F = GM 1M 2 r 2 J 1 J 2 System II: M 1?
More informationGravitational radiation from compact binaries in scalar-tensor gravity
Gravitational radiation from compact binaries in scalar-tensor gravity Ryan Lang University of Florida 10th International LISA Symposium May 23, 2014 Testing general relativity General relativity has withstood
More informationInertial Frame frame-dragging
Frame Dragging Frame Dragging An Inertial Frame is a frame that is not accelerating (in the sense of proper acceleration that would be detected by an accelerometer). In Einstein s theory of General Relativity
More informationTesting the strong-field dynamics of general relativity with gravitional waves
Testing the strong-field dynamics of general relativity with gravitional waves Chris Van Den Broeck National Institute for Subatomic Physics GWADW, Takayama, Japan, May 2014 Statement of the problem General
More informationCollaborators: N. Wex, R. Eatough, M. Kramer, J. M. Cordes, J. Lazio
Kuo Liu Laboratoire de Physique et Chimie de l Environnement, LPCE UMR 6115 CNRS, F-45071 Orleans Cedex 02 Station de radioastronomie de Nancay, Observatoire de Paris, CNRS/INSU, F- 18330 Nancay, France
More information2.5.1 Static tides Tidal dissipation Dynamical tides Bibliographical notes Exercises 118
ii Contents Preface xiii 1 Foundations of Newtonian gravity 1 1.1 Newtonian gravity 2 1.2 Equations of Newtonian gravity 3 1.3 Newtonian field equation 7 1.4 Equations of hydrodynamics 9 1.4.1 Motion of
More informationarxiv: v1 [gr-qc] 28 Oct 2012
Neutron Stars and Pulsars: Challenges and Opportunities after 80 years Proceedings IAU Symposium No. 291, 2012 c 2012 International Astronomical Union J. van Leeuwen, ed. DOI: 00.0000/X000000000000000X
More informationPost-Keplerian effects in binary systems
Post-Keplerian effects in binary systems Laboratoire Univers et Théories Observatoire de Paris / CNRS The problem of binary pulsar timing (Credit: N. Wex) Some classical tests of General Relativity Gravitational
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 informationFundamental Physics, Astrophysics and Cosmology with ET
Fundamental Physics, Astrophysics and Cosmology with ET B.S. Sathyaprakash (CU) and Bernard Schutz (CU, AEI) based on a Living Review article with a similar title (in preparation) ET Science Summary Fundamental
More informationBlack-hole binary inspiral and merger in scalar-tensor theory of gravity
Black-hole binary inspiral and merger in scalar-tensor theory of gravity U. Sperhake DAMTP, University of Cambridge General Relativity Seminar, DAMTP, University of Cambridge 24 th January 2014 U. Sperhake
More informationProbing Relativistic Gravity with the Double Pulsar
Probing Relativistic Gravity with the Double Pulsar Marta Burgay INAF Osservatorio Astronomico di Cagliari The spin period of the original millisecond pulsar PSR B1937+21: P = 0.0015578064924327 ± 0.0000000000000004
More informationGravity with the SKA
Gravity with the SKA Strong-field tests of gravity using Pulsars and Black Holes Michael Kramer Jodrell Bank Observatory University of Manchester With Don Backer, Jim Cordes, Simon Johnston, Joe Lazio
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 informationRelativity SPECIAL, GENERAL, AND COSMOLOGICAL SECOND EDITION. Wolfgang Rindler. Professor of Physics The University of Texas at Dallas
Relativity SPECIAL, GENERAL, AND COSMOLOGICAL SECOND EDITION Wolfgang Rindler Professor of Physics The University of Texas at Dallas OXPORD UNIVERSITY PRESS Contents Introduction l 1 From absolute space
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 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 informationThe structure of spacetime. Eli Hawkins Walter D. van Suijlekom
The structure of spacetime Eli Hawkins Walter D. van Suijlekom Einstein's happiest thought After Einstein formulated Special Relativity, there were two problems: Relativity of accelerated motion The monstrous
More informationOverview and Innerview of Black Holes
Overview and Innerview of Black Holes Kip S. Thorne, Caltech Beyond Einstein: From the Big Bang to Black Holes SLAC, 14 May 2004 1 Black Hole Created by Implosion of a Star Our Focus: quiescent black hole
More informationTesting astrophysical black holes. Cosimo Bambi Fudan University
Testing astrophysical black holes Cosimo Bambi Fudan University http://www.physics.fudan.edu.cn/tps/people/bambi/ 29 October 2015 Interdisciplinary Center for Theoretical Studies (USTC, Hefei) Plan of
More informationTesting the strong-field dynamics of general relativity with direct gravitational-wave observations of merging binary neutron stars and black holes
Testing the strong-field dynamics of general relativity with direct gravitational-wave observations of merging binary neutron stars and black holes J. Meidam, M. Agathos, L. van der Schaaf, C. Van Den
More informationBinary Black Holes. Deirdre Shoemaker Center for Relativistic Astrophysics School of Physics Georgia Tech
Binary Black Holes Deirdre Shoemaker Center for Relativistic Astrophysics School of Physics Georgia Tech NR confirmed BBH GW detections LIGO-P150914-v12 Abbott et al. 2016a, PRL 116, 061102 an orbital
More informationTesting the Kerr Black Hole Hypothesis. Cosimo Bambi (Ludwig-Maximilians-Universität München) 5 June 2012, ESAC Madrid, Spain
Testing the Kerr Black Hole Hypothesis Cosimo Bambi (Ludwig-Maximilians-Universität München) 5 June 2012, ESAC Madrid, Spain Plan of the talk Motivations Theoretical and observational facts How can we
More informationDynamics of star clusters containing stellar mass black holes: 1. Introduction to Gravitational Waves
Dynamics of star clusters containing stellar mass black holes: 1. Introduction to Gravitational Waves July 25, 2017 Bonn Seoul National University Outline What are the gravitational waves? Generation of
More informationGeneral Relativity: Einstein s Theory of Gravitation. Arien Crellin-Quick and Tony Miller SPRING 2009 PHYS43, SRJC
General Relativity: Einstein s Theory of Gravitation Presented By Arien Crellin-Quick and Tony Miller SPRING 2009 PHYS43, SRJC The Motivations of General Relativity General Relativity, or GR, was created
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 informationA GENERAL RELATIVITY WORKBOOK. Thomas A. Moore. Pomona College. University Science Books. California. Mill Valley,
A GENERAL RELATIVITY WORKBOOK Thomas A. Moore Pomona College University Science Books Mill Valley, California CONTENTS Preface xv 1. INTRODUCTION 1 Concept Summary 2 Homework Problems 9 General Relativity
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 informationBlack Hole Physics via Gravitational Waves
Black Hole Physics via Gravitational Waves Image: Steve Drasco, California Polytechnic State University and MIT How to use gravitational wave observations to probe astrophysical black holes In my entire
More informationLISA mission design. Guido Mueller. APS April Meeting, Jan 30th, 2017, Washington DC
LISA mission design Guido Mueller University of Florida APS April Meeting, Jan 30th, 2017, Washington DC 1 L3 from ESA s perspective 2013: Selection of L3 Science Theme by ESA The Gravitational Universe
More informationPhys 4390: General Relativity
Phys 4390: General Relativity Dr. David McNutt, 1 (call me Dave) 1 Department of Physics Saint Mary s University January 9, 2015 1 / 27 Dr. David McNutt, (call me Dave) Phys 4390: General Relativity My
More informationTesting the nature of astrophysical black hole candidates. Cosimo Bambi (Fudan University, Shanghai)
Testing the nature of astrophysical black hole candidates Cosimo Bambi (Fudan University, Shanghai) 8 June 2013, Annual Meeting of the Physics Department Fudan University, Shanghai Tests of General Relativity
More informationTesting General Relativity with Relativistic Binary Pulsars
Testing General Relativity with Relativistic Binary Pulsars Ingrid Stairs UBC GWPAW Milwaukee Jan. 29, 2011 Green Bank Telescope Jodrell Bank Parkes Arecibo Outline Intro to pulsar timing Equivalence principle
More informationKent Yagi BLACK HOLE SOLUTION AND BINARY GRAVITATIONAL WAVES IN DYNAMICAL CHERN-SIMONS GRAVITY. (Montana State University)
BLACK HOLE SOLUTION AND BINARY GRAVITATIONAL WAVES IN DYNAMICAL CHERN-SIMONS GRAVITY JGRG22 @ University of Tokyo November 13 th 2012 Kent Yagi (Montana State University) Collaborators: Nicolas Yunes (Montana
More informationModified Gravity (MOG) and Dark Matter: Can Dark Matter be Detected in the Present Universe?
Modified Gravity (MOG) and Dark Matter: Can Dark Matter be Detected in the Present Universe? John Moffat Perimeter Institute, Waterloo, Ontario, Canada Talk given at the Miami 2014 topical conference on
More informationGravity and scalar fields. Thomas P. Sotiriou SISSA - International School for Advanced Studies, Trieste (...soon at the University of Nottingham)
Gravity and scalar fields Thomas P. Sotiriou SISSA - International School for Advanced Studies, Trieste (...soon at the University of Nottingham) µm 1AU 15Mpc Quantum Gravity General Relativity plus unknown
More informationChern-Simons Gravity:
Chern-Simons Gravity: its effects on bodies orbiting the Earth Adrienne Erickcek (Caltech) Tristan Smith (Caltech) Robert Caldwell (Dartmouth) Marc Kamionkowski (Caltech) arxiv: 0708.0001, to appear in
More informationPulsar Key Science with the SKA
Pulsar Key Science with the SKA Strong-field tests of gravity using Pulsars and Black Holes Michael Kramer Krabi, April 2007 Pulsar Key Science with the SKA Strong-field tests of gravity using Pulsars
More informationGeneral Relativity Tests with Pulsars
General Relativity Tests with Pulsars Ingrid Stairs UBC Rencontres de Moriond La Thuile March 25, 2011 Green Bank Telescope Jodrell Bank Parkes Arecibo Outline Intro to pulsar timing Equivalence principle
More informationκ = f (r 0 ) k µ µ k ν = κk ν (5)
1. Horizon regularity and surface gravity Consider a static, spherically symmetric metric of the form where f(r) vanishes at r = r 0 linearly, and g(r 0 ) 0. Show that near r = r 0 the metric is approximately
More informationf(r) theory, Cosmology and Beyond
f(r) theory, Cosmology and Beyond Li-Fang Li The institute of theoretical physics, Chinese Academy of Sciences 2011-7-30 1 / 17 Outline 1 Brief review of f(r) theory 2 Higher dimensional f(r) theory: case
More informationPreparation of the data analysis of the gravitational wave space antenna.
Preparation of the data analysis of the gravitational wave space antenna. 1) LISA (Laser Interferometer Space Antenna) Why? 2)How? 1 Frequency Limitation Seismic noise cannot be cancelled at low-frequency
More informationNon-existence of time-periodic dynamics in general relativity
Non-existence of time-periodic dynamics in general relativity Volker Schlue University of Toronto University of Miami, February 2, 2015 Outline 1 General relativity Newtonian mechanics Self-gravitating
More informationCovariant Equations of Motion of Extended Bodies with Mass and Spin Multipoles
Covariant Equations of Motion of Extended Bodies with Mass and Spin Multipoles Sergei Kopeikin University of Missouri-Columbia 1 Content of lecture: Motivations Statement of the problem Notable issues
More informationRelativistic theory of surficial Love numbers
Department of Physics, University of Guelph APS April Meeting 2013, Denver Newtonian tides 1 In Newtonian theory, the tidal environment of a body of mass M and radius R is described by the tidal quadrupole
More information, G RAVITATIONAL-WAVE. Kent Yagi. with N. Yunes. Montana State University. YKIS2013, Kyoto
UNIVERSAL I-LOVE OVE-Q Q RELATIONSR IN Q R NEUTRON STARS AND THEIR APPLICATIONS TO ASTROPHYSICS STROPHYSICS,, GRAVITATIONAL G RAVITATIONAL-WAVE AVE, G AND FUNDAMENTAL PHYSICS Kent Yagi with N. Yunes Montana
More informationFRAME-DRAGGING (GRAVITOMAGNETISM) AND ITS MEASUREMENT
FRAME-DRAGGING (GRAVITOMAGNETISM) AND ITS MEASUREMENT INTRODUCTION Frame-Dragging and Gravitomagnetism EXPERIMENTS Past, Past, present and future experimental efforts to measure frame-dragging Measurements
More informationThe Black Hole in the Galactic Center. Eliot Quataert (UC Berkeley)
The Black Hole in the Galactic Center Eliot Quataert (UC Berkeley) Why focus on the Galactic Center? The Best Evidence for a BH: M 3.6 10 6 M (M = mass of sun) It s s close! only ~ 10 55 Planck Lengths
More informationLIGO Status and Advanced LIGO Plans. Barry C Barish OSTP 1-Dec-04
LIGO Status and Advanced LIGO Plans Barry C Barish OSTP 1-Dec-04 Science Goals Physics» Direct verification of the most relativistic prediction of general relativity» Detailed tests of properties of gravitational
More informationWHITE DWARF BINARIES AND GRAVITATIONAL WAVES. Matthew Benacquista Center for Gravitational Wave Astronomy University of Texas at Brownsville
WHITE DWARF BINARIES AND GRAVITATIONAL WAVES Matthew Benacquista Center for Gravitational Wave Astronomy University of Texas at Brownsville Feb. 28, 2013 1 CONCLUSIONS: Close white dwarf binaries in 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 informationFundamental Physics at ACT. Sante Carloni, ACT
Fundamental Physics at ACT Sante Carloni, ACT Areas of Interest Research in Fundamental Physics is focused on the impact that new ideas in physics can have on the space sector. ACT Fundamental Physics
More informationGeometric inequalities for black holes
Geometric inequalities for black holes Sergio Dain FaMAF-Universidad Nacional de Córdoba, CONICET, Argentina. 26 July, 2013 Geometric inequalities Geometric inequalities have an ancient history in Mathematics.
More informationGravitational Wave Astronomy. Lee Lindblom California Institute of Technology
Gravitational Wave Astronomy Lee Lindblom California Institute of Technology Los Angeles Valley College Astronomy Group 20 May 2007 What is Einstein s picture of gravity? What are gravitational waves?
More informationBinary Pulsars and Evidence for Gravitational Radiation
Binary Pulsars and Evidence for Gravitational Radiation Matthew S. Paoletti Physics 798G March 29, 2007 http://www.rowes.com.au/csiro.htm Motivation Three classical tests of GR Bending of light as it passes
More informationSpacecraft clocks and General Relativity
Raymond Angélil Prasenjit Saha May 22, 2013 Clocks in space - nothing new universe s expansion history stellar composition binary neutron star orbit determination galaxy rotation curves exoplanet discovery
More informationStrong field tests of Gravity using Gravitational Wave observations
Strong field tests of Gravity using Gravitational Wave observations K. G. Arun Chennai Mathematical Institute Astronomy, Cosmology & Fundamental Physics with GWs, 04 March, 2015 indig K G Arun (CMI) Strong
More informationTesting Genaral Relativity 05/14/2008. Lecture 16 1
There is a big difference between the Newtonian and the Relativistic frameworks: Newtonian: Rigid flat geometry, universal clocks Gravitational force between objects Magic dependence on mass Relativistic:
More informationGRAVITATIONAL WAVES. Eanna E. Flanagan Cornell University. Presentation to CAA, 30 April 2003 [Some slides provided by Kip Thorne]
GRAVITATIONAL WAVES Eanna E. Flanagan Cornell University Presentation to CAA, 30 April 2003 [Some slides provided by Kip Thorne] Summary of talk Review of observational upper limits and current and planned
More informationSgr A*: The Optimal Testbed of Strong-Field Gravity
Journal of Physics: Conference Series Sgr A*: The Optimal Testbed of Strong-Field Gravity To cite this article: Dimitrios Psaltis and Tim Johannsen 2011 J. Phys.: Conf. Ser. 283 012030 View the article
More informationSynergizing Screening Mechanisms on Different Scales
Synergizing Screening Mechanisms on Different Scales Jeremy Sakstein University of Pennsylvania Probing the dark sector and general relativity at all scales CERN 17 th August 2017 Or. What should astrophysical
More informationAnalytic methods in the age of numerical relativity
Analytic methods in the age of numerical relativity vs. Marc Favata Kavli Institute for Theoretical Physics University of California, Santa Barbara Motivation: Modeling the emission of gravitational waves
More informationBlack Holes: From Speculations to Observations. Thomas Baumgarte Bowdoin College
Black Holes: From Speculations to Observations Thomas Baumgarte Bowdoin College Mitchell and Laplace (late 1700 s) Escape velocity (G = c = 1) 2M v esc = R independent of mass m of test particle Early
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 informationDetecting Gravitational Waves with Pulsars
Detecting Gravitational Waves with Pulsars R. N. Manchester Australia Telescope National Facility, CSIRO, Sydney Australia Summary Pulsars and pulsar timing Parkes pulsar surveys the double pulsar The
More informationGravitational waves from the early Universe
Gravitational waves from the early Universe Part 1 Sachiko Kuroyanagi (Nagoya University) 26 Aug 2017 Summer Institute 2017 What is a Gravitational Wave? What is a Gravitational Wave? 11 Feb 2016 We have
More informationGravitation. Isaac Newton ( ) Johannes Kepler ( )
Schwarze Löcher History I Gravitation Isaac Newton (1643-1727) Johannes Kepler (1571-1630) Isaac Newton (1643-1727) Escape Velocity V = 2GM R 1/2 Earth: 11.2 km/s (40 320 km/h) Moon: 2.3 km/s (8 300 km/h)
More informationBLACK HOLE MECHANICS AND THERMODYNAMICS
PHYS 253:THERMAL PHYSICS BLACK HOLE MECHANICS AND THERMODYNAMICS (NASA) THE TAKE-AWAY In General Relativity, the laws of black hole mechanics describe black holes near equilibrium. There is a deep analogy
More informationGravitational wave memory and gauge invariance. David Garfinkle Solvay workshop, Brussels May 18, 2018
Gravitational wave memory and gauge invariance David Garfinkle Solvay workshop, Brussels May 18, 2018 Talk outline Gravitational wave memory Gauge invariance in perturbation theory Perturbative and gauge
More informationHigh-Energy Astrophysics Lecture 6: Black holes in galaxies and the fundamentals of accretion. Overview
High-Energy Astrophysics Lecture 6: Black holes in galaxies and the fundamentals of accretion Robert Laing Overview Evidence for black holes in galaxies and techniques for estimating their mass Simple
More informationTesting the nature of astrophysical black hole candidates. Cosimo Bambi Fudan University
Testing the nature of astrophysical black hole candidates Cosimo Bambi Fudan University http://www.physics.fudan.edu.cn/tps/people/bambi/ 26 September 2013, National Astronomical Observatories, Beijing
More informationA873: Cosmology Course Notes. II. General Relativity
II. General Relativity Suggested Readings on this Section (All Optional) For a quick mathematical introduction to GR, try Chapter 1 of Peacock. For a brilliant historical treatment of relativity (special
More informationNewtonian instantaneous action at a distance General Relativity information carried by gravitational radiation at the speed of light
Modern View of Gravitation Newtonian instantaneous action at a distance G µ = 8 µ # General Relativity information carried by gravitational radiation at the speed of light Gravitational Waves GR predicts
More informationTesting f (R) theories using the first time derivative of the orbital period of the binary pulsars
Testing f (R) theories using the first time derivative of the orbital period of the binary pulsars Mariafelicia De Laurentis in collaboration with Ivan De Martino TEONGRAV- Meeting 4-5 February 2014, Roma
More informationAstrophysics & Gravitational Physics with the LISA Mission
Astrophysics & Gravitational Physics with the LISA Mission Peter L. Bender JILA, University of Colorado, and NIST Workshop on Robotic Science from the Moon Boulder, CO 5-6 October, 2010 LISA Overview 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 informationQuantum corpuscular corrections to the Newtonian potential
Quantum corpuscular corrections to the Newtonian potential Based on arxiv:1702.05918, to appear in PRD Andrea Giugno Arnold Sommerfeld Center, Ludwig Maximilians Universität, Theresienstraße 37, 80333,
More informationarxiv:physics/ v2 [physics.gen-ph] 2 Dec 2003
The effective inertial acceleration due to oscillations of the gravitational potential: footprints in the solar system arxiv:physics/0309099v2 [physics.gen-ph] 2 Dec 2003 D.L. Khokhlov Sumy State University,
More information2.1 Basics of the Relativistic Cosmology: Global Geometry and the Dynamics of the Universe Part I
1 2.1 Basics of the Relativistic Cosmology: Global Geometry and the Dynamics of the Universe Part I 2 Special Relativity (1905) A fundamental change in viewing the physical space and time, now unified
More informationGravitational waves from the merger of two black holes
Gravitational waves from the merger of two black holes Opening of the Academic Year by the Department of Physics and Astronomy (DPA) VU, Amsterdam, September 21 2016; Jo van den Brand; jo@nikhef.nl Event
More informationBlack Hole Physics. Basic Concepts and New Developments KLUWER ACADEMIC PUBLISHERS. Valeri P. Frolov. Igor D. Nbvikov. and
Black Hole Physics Basic Concepts and New Developments by Valeri P. Frolov Department of Physics, University of Alberta, Edmonton, Alberta, Canada and Igor D. Nbvikov Theoretical Astrophysics Center, University
More informationTidal deformation and dynamics of compact bodies
Department of Physics, University of Guelph Capra 17, Pasadena, June 2014 Outline Goal and motivation Newtonian tides Relativistic tides Relativistic tidal dynamics Conclusion Goal and motivation Goal
More informationRegular solutions of the Einstein equations with parametric transition to black holes
Regular solutions of the Einstein equations with parametric transition to black holes Reinhard Meinel Friedrich-Schiller-Universität Jena 1. Introduction 2. Black hole limit of relativistic figures of
More informationTesting GR with Compact Object Binary Mergers
Testing GR with Compact Object Binary Mergers Frans Pretorius Princeton University The Seventh Harvard-Smithsonian Conference on Theoretical Astrophysics : Testing GR with Astrophysical Systems May 16,
More informationGravity Tests with Radio Pulsars
Gravity Tests with Radio Pulsars Norbert Wex Paris, June 21 st, 2010 Regimes of Gravity Tests (1) Quasi-stationary weak-field regime Solar system experiments (2) Quasi-stationary strong-field regime (3)
More informationTesting GR with LISA Pathfinder, BBO, and Other Future Projects
Testing GR with LISA Pathfinder, BBO, and Other Future Projects Bernard Schutz Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam, Germany (thanks to K Danzmann, J Magueijo)
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 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 informationCurrent Experimental Limits on Gravitational Waves. Nelson Christensen Artemis, Observatoire de la Côte d Azur, Nice
Current Experimental Limits on Gravitational Waves Nelson Christensen Artemis, Observatoire de la Côte d Azur, Nice September 28, 2017. DESY Theory Workshop General Relativity 1915: Einstein s Theory of
More informationIndex. Cambridge University Press A First Course in General Relativity: Second Edition Bernard F. Schutz. Index.
accelerated particle, 41 acceleration, 46 48 absolute, 2 of the universe, 351 353 accretion disk, 317 active gravitational mass, 197, 202, 355 adiabatic, 103 affine parameter, 161, 166, 175 angular diameter
More informationBinary Black Holes, Gravitational Waves, & Numerical Relativity Part 1
1 Binary Black Holes, Gravitational Waves, & Numerical Relativity Part 1 Joan Centrella Chief, Gravitational Astrophysics Laboratory NASA/GSFC Summer School on Nuclear and Particle Astrophysics: Connecting
More informationarxiv:gr-qc/ v1 15 Mar 1999
CPT-99/P.3802 gr-qc/9903058 COMPARING SOLAR-SYSTEM, BINARY-PULSAR, AND GRAVITATIONAL-WAVE TESTS OF GRAVITY a arxiv:gr-qc/9903058v1 15 Mar 1999 Gilles ESPOSITO-FARESE Centre de Physique Théorique, CNRS
More informationGravitational Waves Theory - Sources - Detection
Gravitational Waves Theory - Sources - Detection Kostas Glampedakis Contents Part I: Theory of gravitational waves. Properties. Wave generation/the quadrupole formula. Basic estimates. Part II: Gravitational
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 informationGravitational Wave Astronomy the sound of spacetime. Marc Favata Kavli Institute for Theoretical Physics
Gravitational Wave Astronomy the sound of spacetime Marc Favata Kavli Institute for Theoretical Physics What are gravitational waves? Oscillations in the gravitational field ripples in the curvature of
More informationUniversal Relations for the Moment of Inertia in Relativistic Stars
Universal Relations for the Moment of Inertia in Relativistic Stars Cosima Breu Goethe Universität Frankfurt am Main Astro Coffee Motivation Crab-nebula (de.wikipedia.org/wiki/krebsnebel) neutron stars
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 informationTests of cosmological gravity
Tests of cosmological gravity Jeremy Sakstein University of Pennsylvania Astrophysics Seminar UC Irvine 23 rd January 2018 Who am I? Particle-cosmology (baryogenesis, early universe) Modified gravity (dark
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 informationScreened Scalars and Black Holes
Screened Scalars and Black Holes Ruth Gregory Centre for Particle Theory Durham UK 1402.4737 & coming soon.. With Anne Davis, Rahul Jha, Jessie Muir Image Credit: photojournal.jpl.nasa Outline Black holes
More information