Verfügbarkeit: Physics of black holes

Physics of black holes: a guided tour

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Bibliographische Detailangaben
Weitere Verfasser:	Papantōnopulos, Eleutherios 1951- (HerausgeberIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 2009
Schriftenreihe:	Lecture notes in physics 769
Schlagworte:	Schwarzes Loch - Kongress Astrophysics > Congresses Black holes (Astronomy) > Congresses Schwarzes Loch Konferenzschrift
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XVI, 511 S. Ill., graph. Darst.
ISBN:	9783540884590 9783540884606

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Datensatz im Suchindex

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adam_text	Contents Part I Шаек Holes and their Properties 1 What Exactly is the Information Paradox? ........................ 3 S.D. Mathur 1.1 Introduction .............................................. 3 1.2 Puzzles with Black Holes ................................... 4 1.2.1 The Entropy Puzzle ................................ 4 1.2.2 The Information Paradox ........................... 5 ] .2.3 The Plan of the Review ............................. 7 1.3 Particle Creation in Curved Space ........................... 7 1.3.1 Particle Creation: Physical Picture ................... 10 1.3.2 Particle Production in Black Holes ................... 13 1.4 Slicing the Black Hole Geometry ............................ 15 1.4.1 The Wavemodes .................................. 18 1.5 The Evolution of Modes in the Black Hole .................... 20 1.5.1 The Coordinate Map Giving the Expansion ............ 22 1.5.2 Detailed Nature of the Wavemode .................... 25 1.5.3 Wavepackets ..................................... 27 1.5.4 Modes Straddling the Horizon ....................... 28 1.5.5 The Nature of the Created Pairs ...................... 30 1.5.6 The Entangled Nature of \| ψ) ........................ 32 1.5.7 Entanglement and the idea of Mixed States ........... 32 1.5.8 Entropy of the Hawking Radiation ................... 33 1.5.9 The Problem with the Entangled State ................ 34 1.6 Common Misconceptions About Information Loss ............. 35 1.6.1 Is the Emitted Radiation Exactly Thermal? ............ 35 1.6.2 Can Small Quantum Gravity Effects Encode Information in the Radiation? ....................... 36 1.6.3 What Is the Difference Between Hawking Radiation and Radiation from a Burning Piece of Coal? .......... 37 1.7 The Hawking Theorem ................................... 39 1.7.1 The Local Vacuum ................................ 40 1.7.2 The Consequences of Conditions (a) and (b) ........... 40 1.7.3 The Consequence of a Non-unique Vacuum ............ 41 1.7.4 Summary of the Information Paradox ................. 42 1.8 Black Holes in String Theory: Fuzzballs ...................... 42 1.9 Conclusion ............................................... 47 References ..................................................... 47 2 Classical Yang-Mills Black Hole Hair in Anti-de Sitter Space ........ 49 E. Winstanley 2.1 Introduction .............................................. 49 2.1.1 The no-hair Conjecture ........................... 49 2.1.2 Hairy Black Holes ................................. 50 2.1.3 Scope of this Article ............................... 51 2.2 su(N) Einstein-Yang-Mills Theory .......................... 52 2.2.1 Ansatz, Field Equations and Boundary Conditions ...... 52 2.2.2 Some trivial Solutions ............................ 55 2.2.3 Dyonic Field Equations ............................ 57 2.2.4 Perturbation Equations ............................. 58 2.3 Asymptotically Flat/de Sitter Solutions for su(N) EYM ......... 60 2.3.1 Asymptotically Flat, Spherically Symmetric su(2) Solutions ........................................ 60 2.3.2 Non-spherically Symmetric, Asymptotically Flat su(2) Solutions ................................... 62 2.3.3 Asymptotically Flat su(N) Solutions ................. 63 2.3.4 Asymptotically de Sitter su(2) EYM Solutions ......... 64 2.4 Asymptotically anti-de Sitter Solutions forsu(2) EYM .......... 64 2.4.1 Spherically Symmetric, Asymptotically adS, su(2) EYM Solutions ................................... 64 2.4.2 Stability of the Spherically Symmetric Solutions ....... 68 2.4.3 Other Asymptotically Anti-de Sitter su(2) EYM Solutions 70 2.5 Asymptotically Anti-de Sitter Solutions for su(/V) EYM ......... 71 2.5.1 Spherically Symmetric Numerical Solutions ........... 71 2.5.2 Analytic Work .................................... 75 2.5.3 Stability Analysis of the Spherically Symmetric Solutions 77 2.6 Summary and Outlook ..................................... 79 References ..................................................... 81 3 Black Hole Thermodynamics and Statistical Mechanics ............. 89 S. Carlip 3.1 Introduction .............................................. 89 3.2 Black Hole Thermodynamics ............................... 90 3.2.1 Entropy and the Second Law ....................... 90 3.2.2 The Four Laws of Black Hole Mechanics ............. 91 3.2.3 Black Holes Radiate ............................... 92 3.2.4 Can Hawking Radiation Be Observed? ................ 94 3.2.5 The Many Derivations of Hawking Radiation .......... 95 3.3 Black Hole Statistical Mechanics ............................103 3.3.1 The Many Faces of Black Hole Statistical Mechanics .. . 104 3.4 The Problem of Universality ................................110 3.4.1 The Cardy formula ................................ Ill 3.4.2 Horizons and Constraints ...........................112 3.4.3 What Are the States? ..............................114 3.5 Open Questions ...........................................115 3.5.1 The Information Loss Paradox .......................116 3.5.2 Holography ......................................116 Appendix ......................................................117 References .....................................................119 4 Colliding Black Holes and Gravitational Waves .................... 125 U. Sperhake 4.1 Introduction ..............................................125 4.2 The 3+1 Decomposition of General Relativity .................127 4.2.1 The Einstein Equations .............................129 4.3 The Ingredients of Numerical Relativity ......................134 4.3.1 The Formulation of the Einstein Equations ............134 4.3.2 Gauge Conditions .................................138 4.3.3 Initial Data .......................................141 4.3.4 Mesh Refinement and Outer Boundary Conditions ......144 4.3.5 Singularity Treatment ..............................147 4.4 Diagnostics ..............................................148 4.4.1 Global Quantities ..................................149 4.4.2 Local Quantities ..................................149 4.4.3 Gravitational Waves ...............................151 4.5 A Brief History of Black-Hole Simulations ....................153 4.6 Properties of Black-Hole Binaries ...........................154 4.6.1 Non-spinning, Equal-Mass Binaries ..................155 4.6.2 Unequal Mass Binaries .............................158 4.6.3 Spinning Binaries .................................161 4.7 Conclusions ..............................................164 References .....................................................164 5 Numerical Simulations of Black Hole Formation ................... 177 N. Stergioulas 5.1 Introduction ..............................................177 5.2 Numerical Methods .......................................182 5.2.1 Evolution of the Field Equations .....................183 5.2.2 Evolution of the Equations of Hydrodynamics .........185 5.2.3 Hydrodynamical Excision ..........................186 5.2.4 General-Relativistic Hydrodynamics .................187 5.2.5 Mesh Refinement ..................................188 5.2.6 Mode Extraction ..................................188 5.3 Black Hole Formation in Rotating Neutron Star Collapse ........189 5.3.1 Dynamics of the Matter ............................191 5.3.2 Dynamics of the Horizons ..........................195 5.4 Black Hole Formation Through Non-axisymmetric Instabilities in Supermassive Stars ......................................197 5.4.1 Quasi-toroidal Polytropes ...........................197 5.4.2 Numerical Setup ..................................198 5.4.3 Dynamical Evolution of the Reference Model ..........199 5.4.4 Models of Γ =4/3 Polytropes with Fixed Central Rest-Mass Density ................................202 5.4.5 Nature of the Non-axisymmetric, Dynamical Instability . 204 References .....................................................205 Part II Higher-Dimensional Black Holes 6 Black Holes in Higher-Dimensional Gravity .......................211 N.A. Obers 6.1 Introduction and Motivation ................................211 6.2 Uniqueness Theorems and Going Beyond Four Dimensions .....214 6.2.1 Black Hole (Non-)uniqueness .......................214 6.2.2 Overview of Solution Methods ......................217 6.3 Kaluza-Klein Black Holes .................................218 6.3.1 Setup and Physical Quantities .......................219 6.3.2 Black Holes and Strings on Cylinders ................221 6.3.3 Phase Diagram and Copied Phases ...................225 6.3.4 KK Phases on T2 from Phases on Sl ..................226 6.4 Multi-black Hole Configurations on the Cylinder ..............229 6.4.1 Construction of Multi-black Hole Solutions ...........229 6.4.2 Newtonian Derivation of the Thermodynamics ........233 6.4.3 Consequences for the Phase Diagram ................235 6.5 Thin Black Rings in Higher Dimensions ......................237 6.5.1 Thin Black Rings from Boosted Black Strings .........237 6.5.2 Matched Asymptotic Expansion .....................241 6.5.3 Black Rings Versus MP Black Holes .................243 6.6 Completing the Phase Diagram .............................246 6.6.1 GL Instability of Ultra-spinning MP Black Hole .......246 6.6.2 Phase Diagram of Neutral Rotating Black Holes on J¿b .....................................248 6.7 Outlook .................................................250 6.7.1 Stability .........................................251 6.7.2 Other CompactiOed Solutions .......................251 6.7.3 Numerical Solutions ...............................251 6.7.4 Effective Field Theory Techniques ...................251 6.7.5 Other Black Rings .................................252 6.7.6 More Rotation Parameters ..........................252 6.7.7 Blaekfokls .......................................252 6.7.8 Plasma Balls and Rings ............................252 6.7.9 Microscopic Entropy for Three-Charge Black Holes .... 253 6.7.10 Braneworkl Black Holes ............................253 References .....................................................253 7 Braneworld Black Holes ........................................259 R. Gregory 7.1 Introduction ..............................................259 7.2 Some Randall-Sundrum Essentials ..........................261 7.3 Gravity in the Randall-Sundrum Model .......................263 7.3.1 Perturbation Theory ...............................264 7.3.2 Cosmology .......................................268 7.4 Black Holes and Holography ................................270 7.5 Black Hole Metric ........................................273 7.6 Approximate Methods and Solutions for Brane Black Holes .....277 7.6.1 Branc Approach ...................................277 7.6.2 Bulk Approach ....................................279 7.7 Outlook .................................................291 References .....................................................295 8 Higher Order Gravity Theories and Their Black Hole Solutions ......299 C. Charmousis 8.1 An Introduction to Lovelock Gravity .........................300 8.1.1 Lovelock s Theory .................................302 8.1.2 Basic Definitions lor Lovelock Theory: Differential Form Language ...................................304 8.1.3 Lovelock Densities and Their Geometric Interpretation .. 306 8.2 Exact Solutions ...........................................309 8.2.1 A Staticity Theorem ...............................309 8.2.2 Lovelock Black Holes ..............................313 8.2.3 Einstein-Gauss-Bonnet Black Holes .................314 8.2.4 Thermodynamics and a Geometrical Explanation of the Horizon Area Formula ........................317 8.2.5 The Lovelock Solitons and the Maximally Symmetric Cosmic Strings ...................................320 8.3 Matching Conditions lor Distributional Sources ................321 8.4 Applications to Braneworlds ................................328 8.4.1 Codimension 1 Braneworlds and Their Effective Four-Dimensional Gravity ..........................328 8.4.2 Codimension 1, Brane Cosmology ...................334 8.4.3 Codimension 2 Braneworlds ........................337 8.5 Tlie Extended Kaluza-Klein Reduction .......................338 8.6 Concluding Remarks and Open Problems .....................341 References .....................................................343 9 Gravitational Waves from Brancworld Black Holes .................347 S.S. Scabra 9.1 Inlroduction ..............................................347 9.2 A Generalized Randall-Sundrum Two Brane Model ............349 9.2.1 Geometrical Framework and Notation ................350 9.2.2 Ліс Action and Field Equations .....................351 9.2.3 The Black Siring Braneworld ........................352 9.3 Linear Perturbations .......................................353 9.3.1 Perturbative Variables ..............................354 9.3.2 Linearizing the Bulk Field Equations .................355 9.3.3 Linearizing the Junction Conditions ..................356 9.3.4 Converting the Boundary Conditions into Distributional Sources ..........................................357 9.4 Kaluza-Klein Mode Functions ..............................358 9.4.1 Separation of Variables .............................358 9.4.2 Even Parity Eigenfunctions .........................359 9.4.3 Odd Parity Eigenfunctions ..........................361 9.5 Recovering 4-Dimensional Gravity ..........................362 9.6 Beyond the Zero-Mode Truncation ...........................364 9.6.1 KK Mode Decomposition ...........................364 9.6.2 The Multipole Decomposition .......................365 9.7 Homogeneous Axial Perturbations ...........................367 9.7.1 High Angular Momentum / > 2 Radialion.............367 9.7.2 Axial p-Waves ....................................369 9.7.3 Numeric Integration of Quadrupole Equations .........370 9.8 Spherical Perturbations with Source Terms ....................371 9.8.1 Spherical Master Variables ..........................372 9.8.2 Inversion Formulae .................................373 9.8.3 The Gregory-Laflamme Instability ...................374 9.9 Point Particle Sources on the Brane ..........................376 9.9.1 Point Particle Stress-Energy Tensor ..................376 9.9.2 The s-Wave Sector .................................378 9.10 Estimating the Amplitude of the Massive Mode Signal ..........380 9.10.1 Green s Function Analysis ..........................380 9.10.2 Asymptotic Behaviour .............................381 9.10.3 Application to the Point Particle Case for η » 1: Kaluza-Klein Scaling Formulae .....................382 9.10.4 Observability of the Massive Mode Signal .............384 9.11 Summary and Outlook .....................................385 References .....................................................386 10 Black Holes at the Large Hadron Collider ........................387 P. Kanti 10.1 Introduction ..............................................387 10.2 Creation of Black Holes and Their Properties ..................388 10.2.1 Extra Dimensions .................................389 10.2.2 Creation of Black Holes ............................391 10.2.3 Black-Hole Properties ..............................397 10.3 Hawking Radiation Spectra and Observable Signatures ..........402 10.3.1 The Schwarzschild Phase on the Brane ................403 10.3.2 The Spin-Down Phase on the Brane ..................407 10.3.3 Emission in the Bulk ...............................410 10.3.4 Deducing Basic Information ........................414 10.3.5 Schwarzschi Id— cle Sitter Black Holes .................418 10.4 Conclusions ..............................................419 References .....................................................421 Part III Perturbations of Black Holes 11 Perturbations and Stability of Higher-Dimensional Black Holes ......427 H. Kodarna 11.1 Introduction ..............................................427 11.2 Present Status of the Black-Hole Stability Issue ................428 1 1 .2.1 Four Dimensions ..................................428 11.2.2 Higher Dimensions ................................429 11.3 Gauge-Invariant Perturbation Theory .........................430 11.3.1 Background Solution ..............................430 11.3.2 Perturbations .....................................432 11.3.3 Tensor Perturbation ................................436 11.3.4 Vector Perturbation ................................438 11.3.5 Scalar Perturbation ................................440 11.4 Stability of Static Black Holes ..............................443 11.4.1 Tensor Perturbations ...............................444 1 1 .4.2 Vector Perturbations ...............................444 11.4.3 Scalar Perturbations ...............................449 11.4.4 Summary of the Stability Analysis ...................453 11.5 Flat Black Brane ..........................................454 11.5.1 Strategy .........................................454 11.5.2 Tensor Perturbations ...............................455 11.5.3 Vector Perturbations ...............................455 11.5.4 Scalar Perturbations ...............................459 11.6 Summary and Discussion ...................................468 References .....................................................469 12 Analytic Calculation of Quasi-Normal Modes .....................471 G. Siopsis 12.1 Introduction ..............................................471 12.2 Flat Spacctime ............................................472 12.2.1 Schwarzschild Black Holes .........................472 12.2.2 Kerr Black Holes ..................................479 12.2.3 Half-Integer Spin ..................................484 12.3 Anti-cle Sitter Spacetime...................................485 12.3.1 Scalar Perturbations ...............................485 12.3.2 Gravitational Perturbations.......................... 488 12.3.3 Electromagnetic Perturbations .......................494 12.4 AdS/CIT Correspondence and Hydrodynamics ................494 12.4.1 Hydrodynamics ...................................495 12.4.2 Branes ...........................................496 12.4.3 Schwarzschild Black Holes .........................498 12.5 Conclusion ...............................................506 References .....................................................506 Index .............................................................509
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series	Lecture notes in physics
series2	Lecture notes in physics
spelling	Physics of black holes a guided tour E. Papantonopoulos (ed.) Berlin [u.a.] Springer 2009 XVI, 511 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 769 Schwarzes Loch - Kongress Astrophysics Congresses Black holes (Astronomy) Congresses Schwarzes Loch (DE-588)4053793-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Schwarzes Loch (DE-588)4053793-6 s DE-604 Papantōnopulos, Eleutherios 1951- (DE-588)1057711896 edt Lecture notes in physics 769 (DE-604)BV000003166 769 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017053746&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Physics of black holes a guided tour Lecture notes in physics Schwarzes Loch - Kongress Astrophysics Congresses Black holes (Astronomy) Congresses Schwarzes Loch (DE-588)4053793-6 gnd
subject_GND	(DE-588)4053793-6 (DE-588)1071861417
title	Physics of black holes a guided tour
title_auth	Physics of black holes a guided tour
title_exact_search	Physics of black holes a guided tour
title_full	Physics of black holes a guided tour E. Papantonopoulos (ed.)
title_fullStr	Physics of black holes a guided tour E. Papantonopoulos (ed.)
title_full_unstemmed	Physics of black holes a guided tour E. Papantonopoulos (ed.)
title_short	Physics of black holes
title_sort	physics of black holes a guided tour
title_sub	a guided tour
topic	Schwarzes Loch - Kongress Astrophysics Congresses Black holes (Astronomy) Congresses Schwarzes Loch (DE-588)4053793-6 gnd
topic_facet	Schwarzes Loch - Kongress Astrophysics Congresses Black holes (Astronomy) Congresses Schwarzes Loch Konferenzschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017053746&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000003166
work_keys_str_mv	AT papantonopuloseleutherios physicsofblackholesaguidedtour

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