Description 
1 online resource (xiv, 427 pages) 
Contents 
Notations; Chapter 1. Modern ideas of gravitation and cosmology  a brief essay; Einstein after Einstein; The technological breakthrough; To quantize or not?; The zoo of theories; Gravitation and the Universe; Part I Gravitation; Chapter 2. Fundamentals of general relativity; 2.1 Special relativity. Minkowski geometry; 2.1.1 Geometry; 2.1.2 Coordinate transformations; 2.1.3 Kinematic effects; 2.1.4 Elements of relativistic point mechanics; 2.2 Riemannian spacetime. Coordinate systems and reference frames; 2.2.1 Covariance, maps and atlases; 2.2.2 Reference frames and relativity 

2.2.3 Reference frames and chronometric invariants2.2.4 Covariance and relativity; 2.3 Riemannian spacetime. Curvature; 2.4 The gravitational field action and dynamic equations; 2.4.1 The Einstein equations; 2.4.2 Geodesic equations; 2.4.3 The correspondence principle; 2.5 Macroscopic matter and nongravitational fields in GR; 2.5.1 Perfect fluid; 2.5.2 Scalar fields; 2.5.3 The electromagnetic field; 2.6 The most symmetric spaces; 2.6.1 Isometry groups and killing vectors; 2.6.2 Isotropic cosmology. The dS and AdS spaces; Chapter 3. Spherically symmetric spacetimes. Black holes 

3.1 Spherically symmetric gravitational fields3.1.1 A regular centre and asymptotic flatness; 3.2 The ReissnerNordstrom(anti )de Sitter solution; 3.2.1 Solution of the Einstein equations; 3.2.2 Special cases; The (anti )de Sitter metric; The Schwarzschild metric and the Newton law; The ReissnerNordstrom metric; Metrics with a nonzero cosmological constant; 3.3 Horizons and geodesics in static, spherically symmetric spacetimes; 3.3.1 The general form of geodesic equations; 3.3.2 Horizons, geodesics and the quasiglobal coordinate; 3.3.3 Transitions to Lemaıtre reference frames 

3.3.4 Horizons, R and Tregions3.4 Schwarzschild black holes. Geodesics and a global description; 3.4.1 R and Tregions; 3.4.2 Geodesics in the Rregion; 3.4.3 Particle capture by a black hole; 3.4.4 A global description: The Kruskal metric; 3.4.5 From Kruskal to CarterPenrose diagram for the Schwarzschild metric; 3.5 The global causal structure of spacetimes with horizons; 3.5.1 Crossing the horizon in the general case; 3.5.2 Construction of CarterPenrose diagrams; 3.6 A black hole as a result of gravitational collapse; 3.6.1 Internal and external regions. Birkhoff's theorem 

3.6.2 Gravitational collapse of a spherical dust cloudChapter 4. Black holes under more general conditions; 4.1 Black holes andmassless scalar fields; 4.1.1 The general STT and the Wagoner transformations; On phantom fields; 4.1.2 Minimally coupled scalar fields; 4.1.3 Conformally coupled scalar field; Solutions with nonconformal coupling; 4.1.4 Anomalous (phantom) fields. The antiFisher solution; 4.1.5 Cold black holes in the antiFisher solution; 4.1.6 Vacuum and electrovacuum in BransDicke theory; 4.1.7 Summary for massless scalar fields 
Summary 
Assuming foundational knowledge of special and general relativity, this book guides the reader on issues surrounding black holes, wormholes, cosmology, and extra dimensions. Its first part is devoted to local strong field configurations (black holes and wormholes) in general relativity and the most relevant of alternative theories: scalar?tensor, f(R) and multidimensional theories. The second part is on cosmology, including inflation and a unified description of the whole evolution of the universe. The third part concerns multidimensional theories of gravity and contains a number of original r 
In 
EBL 
Subject 
Black holes (Astronomy)


Cosmology.


General relativity (Physics)


Gravitation.


Special relativity (Physics)


Wormholes (Physics)

Form 
Electronic book

Author 
Rubin, Sergei G.

ISBN 
1283739364 

9781283739368 

9789814374200 

9789814374217 (electronic bk.) 

9814374202 

9814374210 (electronic bk.) 
