Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Bronnikov, Kirill A.
Titre(s) : Black holes, cosmology and extra dimensions [Texte électronique] / Kirill A. Bronnikov and Sergey G. Rubin
Publication : Singapore ; London : World Scientific, 2012
Description matérielle : 1 online resource (xiv, 427 pages)
Note(s) : 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.
Autre(s) auteur(s) : Rubin, Sergei G.. Auteur ou responsable intellectuel
Sujet(s) : Relativité générale (physique)
Relativité restreinte (physique)
Trous noirs (astronomie)
Trous de ver (physique)
Gravitation
Identifiants, prix et caractéristiques : ISBN 9789814374217
Identifiant de la notice : ark:/12148/cb43570104v
Notice n° :
FRBNF43570104
(notice reprise d'un réservoir extérieur)
Table des matières : 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 space-time. 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 space-time. 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 space-times. Black holes.
3.1 Spherically symmetric gravitational fields3.1.1 A regular centre and asymptotic
flatness; 3.2 The Reissner-Nordstrom-(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 Reissner-Nordstrom metric; Metrics with a nonzero cosmological
constant; 3.3 Horizons and geodesics in static, spherically symmetric space-times;
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 T-regions3.4 Schwarzschild black holes. Geodesics and a global
description; 3.4.1 R- and T-regions; 3.4.2 Geodesics in the R-region; 3.4.3 Particle
capture by a black hole; 3.4.4 A global description: The Kruskal metric; 3.4.5 From
Kruskal to Carter-Penrose diagram for the Schwarzschild metric; 3.5 The global causal
structure of space-times with horizons; 3.5.1 Crossing the horizon in the general
case; 3.5.2 Construction of Carter-Penrose 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 anti-Fisher solution; 4.1.5 Cold black holes
in the anti-Fisher solution; 4.1.6 Vacuum and electrovacuum in Brans-Dicke theory;
4.1.7 Summary for massless scalar fields.