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黑洞物理学概论
"Introduction to Black Hole Physics" by Valeri P. Frolov and Andrei Zelnikov
OxUn Press | 2011 | ISBN: 0199692297 9780199692293 | 512 pages
This self-contained textbook combines physical, mathematical, and astrophysical aspects of black hole theory. It contains 'standard' material on black holes as well as relatively new subjects such as the role of hidden symmetries in black hole physics, and black holes in spacetimes with large extra dimensions.
Contents
1 Black Holes: Big Picture
1.1Gravity and Black Holes
1.2Brief History of Black Holes
1.3‘Dark Stars’ vs. Black Holes
1.4Final State of Stellar Evolution
1.5Equilibrium of Gravitating Systems
1.6Important Notions of Astrophysics
1.7Black Holes in Astrophysics and Cosmology
1.8Stellar-Mass Black Holes
1.9Supermassive Black Holes
1.10Primordial Black Holes
1.11Black Holes in Theoretical Physics
1.12Black Holes and Extra Dimensions
2 Physics in a Uniformly Accelerated Frame
2.1Minkowski Spacetime and Its Symmetries
2.2Minkowski Spacetime in Curved Coordinates
2.3Uniformly Accelerated Reference Frame
2.4Homogeneous Gravitational Field
2.5Causal Structure
2.6Wick’s Rotation in the Rindler Space
3 Riemannian Geometry
3.1Differential Manifold. Tensors
3.2Metric
3.3Covariant Derivative
3.4Lie and Fermi Transport
3.5Curvature Tensor
3.6Parallel Transport of a Vector
3.7Spacetime Symmetries
3.8Submanifold
3.9Integration
4 Particle Motion in Curved Spacetime
4.1Equations of Motion
4.2Phase Space
4.3Complete Integrability
5Einstein Equations
5.1Einstein-Hilbert Action
5.2Einstein Equations
5.3Linearized Gravity
5.4Gravitational radiation
5.5Gravity in Higher-Dimensions
6Spherically Symmetric Black Holes
6.1Spherically Symmetric Gravitational Field
6.2Schwarzschild-de Sitter Metric
6.3Global Structure of the Schwarzschild Spacetime
6.4Black Hole Interior
6.5Painleve-Gullstrand Metric
6.6Eddington-Finkelstein Coordinates
6.7Charged Black Holes
6.8Higher-Dimensional Spherical Black Holes
7Particles and Light Motion in Schwarzschild Spacetime
7.1Equations of Motion
7.2Particle Trajectories
7.3Kepler’s Law
7.4Light Propagation
7.5Ray-Tracing in Schwarzschild Spacetime
7.6Black Hole as a Gravitational Lens
7.7Radiation from an Object Moving Around the Black Hole
7.8Equations of Motion in ‘Tilted’ Spherical Coordinates
7.9Magnetized Schwarzschild Black Hole
7.10Particle and Light Motion Near Higher-Dimensional Black Holes
8Rotating Black Holes
8.1Kerr Spacetime
8.2Ergosphere. Horizon
8.3Particle and Light Motion in Equatorial Plane
8.4Spinning up the Black Hole
8.5Geodesics in Kerr Spacetime: General Case
8.6Light Propagation
8.7Hidden Symmetries of Kerr Spacetime
8.8Energy Extraction from a Rotating Black Hole
8.9Black Holes in External Magnetic Field
9Classical and Quantum Fields near Black Holes
9.1Introduction
9.2Static Field in the Schwarzschild Spacetime
9.3Dimensional Reduction
9.4Quasinormal Modes
9.5Massless Fields in the Kerr Spacetime
9.6Black Hole in a Thermal Bath
9.7Hawking Effect
9.8Quantum Fields in the Rindler Spacetime
9.9Black Hole Thermodynamics
9.10Higher-Dimensional Generalizations
10 Black Holes and All That Jazz
10.1Asymptotically Flat Spacetimes
10.2Black Holes: General Definition and Properties
10.3Black Holes and Search for Gravitational Waves
10.4‘Black Holes’ in Laboratories
10.5Black Holes in Colliders?
10.6Higher-Dimensional Black Holes
10.7Wormholes
10.8‘Time Machine’ Problem
Appendix A Fundamental Constants and Units
A.lFundamental Constants
A.2Planck Units
A.3Conversion Factors
A.4Various Scales of Masses
A.5Milky Way Galaxy Observational Data
A.6Universe Observational Data
A.7Dimensionless Entropy (S/k&)
Appendix B Gauss-Codazzi Equations
B.lGauss-Codazzi Equations
B.2Static Surface in a Static Spacetime
Appendix C Conformal Transformations
Appendix D Hidden Symmetries
D.lConformal Killing Tensor
D.2Killing-Yano Tensors
D.3Primary Killing Vector
D.4Properties of the Primary Killing Vector
D.5Secondary Killing Vector
D.6Darboux Basis
D.7Canonical Form of Metric
D.8Separation of Variables in Canonical Coordinates
D.9Higher-Dimensional Generalizations
D.10Higher-Dimensional Kerr-NUT-(
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