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E-grāmata: Gravitational Collapse and Spacetime Singularities

(Tata Institute of Fundamental Research, Mumbai, India)
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When a massive star comes to the and of its life cycle, says Joshi (natural sciences, Tata Institute of Fundamental Research, Mumbai), it collapses under its own gravity, and on the outcome of that collapse depends the basic theory and applications of black holes developed over the past decades. Under some conditions, the aftermath is actually visible, and he draws on the general theory of relativity to explain how these visible ultra-dense regions arise naturally and generically as the outcome of a dynamical gravitational collapse in Einstein gravity. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

Gravitational collapse for graduate students and researchers in gravitation physics, fundamental physics, astrophysics, and cosmology.

Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of recent research into gravitational collapse, and several examples of collapse models are investigated in detail.

Recenzijas

' beautifully produced ' The Observatory ' provides a useful introduction to aspects of gravitational collapse and the development of singularities. It would provide a useful starting point to either a graduate student already familiar with general relativity, or an already active researcher in a different area of relativity, who wishes to investigate recent work on gravitational collapse.' Mathematical Reviews 'This monograph should be useful to students and mature researchers alike. It focuses especially on the issue of 'cosmic censorship': what conditions, in mathematical models of collapse, can lead to naked singularities, what are the singularities' properties, and how might the laws of loop quantum gravity modify singularity formation rich insights flow from this book's analyses, and its summaries of the relevant literature are particularly useful. Anyone interested in gravitational collapse will find this book's insights and literature summaries of great value.' Kip S. Thorne, Feynman Professor of Theoretical Physics, Emeritus, California Institute of Technology 'Gravitational collapse of massive objects is still a major unsolved problem in general relativity at the present time. Collapse of massive objects may lead to a black hole, but may also lead to a naked singularity. Both are possible, as the conjectured 'cosmic censorship' that would cloak naked singularities does not always hold; it is an important topic in gravitational physics to determine which will occur under what circumstances. In this well reasoned book, Dr Joshi gives a careful survey of the general relativity aspects of this problem, emphasizing how it remains unsolved to the present day. The book will provide a good springboard for those wishing to tackle this important problem.' George Ellis, University of Cape Town

Papildus informācija

This book examines gravitational collapse for graduate students and researchers in gravitation physics, fundamental physics, astrophysics, and cosmology.
Preface ix
Introduction
1(9)
The spacetime manifold
10(50)
The manifold model
10(11)
The metric tensor
21(3)
Connection
24(5)
Non-spacelike geodesics
29(3)
Spacetime curvature
32(6)
The Einstein equations
38(5)
Exact solutions
43(17)
Spherical collapse
60(75)
Basic framework
62(7)
Regularity conditions
69(2)
Collapsing matter clouds
71(8)
Nature of singularities
79(8)
Exterior geometry
87(3)
Dust collapse
90(39)
Equation of state
129(6)
Cosmic censorship
135(75)
Causal structure
136(13)
Spacetime singularities
149(12)
Blackholes
161(8)
Higher spacetime dimensions
169(6)
Formulating the censorship
175(15)
Genericity and stability
190(20)
Final fate of a massive star
210(45)
Life cycle of massive stars
213(2)
Evolution of a physically realistic collapse
215(10)
Non-spherical models
225(10)
Blackhole paradoxes
235(3)
Resolution of a naked singularity
238(17)
References 255(14)
Index 269


Pankaj S. Joshi is Senior Professor at the School of Natural Sciences, Tata Institute of Fundamental Research, Mumbai, India. His research interests include gravitation and cosmology, space-time structure and quantum gravity, and relativistic astrophysics and general relativity. Professor Joshi has an excellent international reputation for his work in the field of gravitational collapse.