Overview

This volume on black holes can be seen as a sequel to Physics of Black Holes, published by Kluwer Academic Publishers in 1989. The authors are recognised experts in their field, and have many years' experience in teaching courses on general relativity and black holes.

Full Product Details

Author:   V. Frolov ,  I. Novikov
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   96
Dimensions:   Width: 16.00cm , Height: 4.00cm , Length: 24.00cm
Weight:   2.420kg
ISBN:  

9780792351467

ISBN 10:   0792351460
Pages:   770
Publication Date:   30 November 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

Reviews

What Frolov and Novikov's book does is present a relatively clear, encyclopedic disussion... its range is impressive... recommend [it] to any graduate student with a grounding in general relativity and an interest in gravitational physics or astrophysics... Frolov and Novikov's book does a very good job in explaing what we know about [black holes] today.' Physics Today (July 2000) 3

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