Black Hole Physics

Basic Concepts and New Developments

Inbunden, Engelska, 1998

Av V. Frolov, I. Novikov

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This work covers practically all aspects of black hole physics and its astrophysical applications. Among the topics treated in depth are: spacetime of stationary black holes, general theory of black holes, black hole perturbations, black hole numerics, black hole electrodynamics, black holes in unified theories of gravity, quantum black holes, final states of evaporating black holes and the information loss puzzle. Special attention is paid to the role of black holes in astrophysics and observational evidence of black hole existence. Many exotic subjects linked with black holes, such as white holes, wormholes, and time machines are discussed in detail. Numerous appendices cover mathematical aspects of general relativity and black holes and quantum field theory in curved space time. This makes the book practically self-contained. Extensive references provide the reader with a guide to the literature in this field.

Produktinformation

Utgivningsdatum1998-11-30
Mått170 x 244 x 48 mm
Vikt1 344 g
FormatInbunden
SpråkEngelska
SerieFundamental Theories of Physics
Antal sidor770
Upplaga1998
FörlagKluwer Academic Publishers
ISBN9780792351450

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I Basic Concepts.- 1 Introduction: Brief History of Black Hole Physics.- 2 Spherically Symmetric Black Holes.- 3 Rotating Black Holes.- 4 Black hole Perturbations (Written jointly with N. Andersson).- 5 General Properties of Black Holes.- 6 Stationary Black Holes.- 7 Physical Effects in the Gravitational Field of a Black Hole.- 8 Black Hole Electrodynamics.- >9 Astrophysics of Black Holes.- II Further Developments.- 10 Quantum Particle Creation by Black Holes.- 11 Quantum Physics of Black Holes.- 12 Thermodynamics of Black Holes.- 13 Black Holes in Unified Theories.- 14 The Interior of a Black Hole.- 15 Ultimate Fate of Black and White Holes.- 16 Black Holes, Wormholes, and Time Machines.- Conclusion.- Appendices.- A Mathematical Formulas.- A.1 Differential Manifold. Tensors.- A.2 Metric. Space and Time Intervals.- A.3 Causal Structure.- A.4 Covariant Derivative.- A.5 Geodesic Lines.- A.6 Curvature.- A.7 Lie- and Fermi-Transport.- A.8 Symmetries and Conservation Laws.- A.9 Geometry of Congruence of Lines.- A.10 Stationary Congruences.- A.10.1 Killing congruence.- A.10.2 Congruence of locally non-rotating observers.- A.11 Local Reference Frames.- A.12 Geometry of Subspaces.- A.13 Integration in Curved Space.- A.14 Conformai Transformations.- A.15 Einstein Equations.- B Spherically Symmetric Spacetimes.- B.1 Spherically Symmetric Geometry.- B.2 Reduced Action.- B.3 Generalized Birkhoff’s Theorem.- B.4 Spherically Symmetric Vacuum Solutions.- B.4.1 Schwarzschild metric.- B.4.2 Scaling properties.- B.5 Kruskal Metric.- B.5.1 Derivation of Kruskal metric.- B.5.2 Relation between Kruskal and Schwarzschild metrics.- B.5.3 Kruskal spacetime as maximal analytical continuation of the Schwarzschild metric.- B.5.4 Einstein-Rosen bridge.- B.6 Tolman Solution.- C Rindler Frame inMinkowski Spacetime.- C.1 Uniformly Accelerated Motion.- C.2 Rindler Frame.- C.3 Light and Particle Propagation.- C.4 Maximal Analytical Extension of Rindler Spacetime.- D Kerr-Newman Geometry.- D.1 Kerr-Newman Metric.- D.2 Christoffel Symbol.- D.3 Symmetries.- D.4 Motion of Test Particles.- D.4.1 Integrals of motion.- D.4.2 Hamilton-Jacobi method.- D.5 Stationary Congruences in the Kerr-Newman Geometry.- D.5.1 Killing congruence.- D.5.2 Congruence of locally non-rotating observers.- D.6 Algebraic Properties.- D.7 Analytic Extension.- E Newman-Penrose Formalism.- E.1 Complex Null Tetrad. Spin Coefficients.- E.2 Covariant Derivatives. Ricci and Weyl Tensor.- E.3 Newman-Penrose Equations.- E.4 Bianchi Identities.- F Wave Fields in a Curved Spacetime.- F.1 Scalar Field.- F.2 Electromagnetic Field.- F.3 Gravitational Perturbations.- G Wave Fields in the Kerr Metric.- G.1 Teukolsky Equation.- G.2 Separation of Variables. Spin-Weighted Spheroidal Harmonics.- G.3 Radial Equation.- G.4 Massless Scalar Field.- G.5 Electromagnetic Field.- G.6 Gravitational Perturbations.- H Quantum Fields in Kerr Spacetime.- H.1 Quantum Theory in an External Field.- H.2 Vacuum. Many-Particle States.- H.4 Massless Fields Quantization in Kerr Spacetime.- H.6 Averaging over “Non-observable” States.- I Quantum Oscillator.- 1.1 Action.- 1.2 Quantization and Representations.- 1.3 Quantum Oscillator at Finite Temperature.- 1.4 Two Mode Coupled Oscillators.