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More About This Textbook
Overview
General relativity predicts that continual gravitational collapse gives rise to a spacetime singularity, which may be hidden inside an event horizon or visible to external observers. This book investigates these issues, and shows how such visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. Quantum gravity may take over in these regimes to resolve the classical spacetime singularity. The quantum effects from a visible extreme gravity region could then propagate to external observers, providing a useful laboratory for quantum gravity, and implying interesting consequences for ultra-high energy astrophysical phenomena in the universe.
This volume will be of interest to graduate students and academic researchers in gravitation physics and fundamental physics, as well as astrophysics and cosmology. It includes a review of recent research into gravitational collapse, and several examples of collapse models are worked out in detail.
About the Author:
Pankaj S. Joshi, Tata Institute of Fundamental Research, Mumbai, India
Editorial Reviews
From the Publisher
"This monograph provides a useful introduction to aspects of gravitational collapse and the developments of singularities."Robert J. Low, Mathematical Reviews
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Meet the Author
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.
Table of Contents
Preface ix
Introduction 1
The spacetime manifold 10
The manifold model 10
The metric tensor 21
Connection 24
Non-spacelike geodesics 29
Spacetime curvature 32
The Einstein equations 38
Exact solutions 43
Spherical collapse 60
Basic framework 62
Regularity conditions 69
Collapsing matter clouds 71
Nature of singularities 79
Exterior geometry 87
Dust collapse 90
Equation of state 129
Cosmic censorship 135
Causal structure 136
Spacetime singularities 149
Blackholes 161
Higher spacetime dimensions 169
Formulating the censorship 175
Genericity and stability 190
Final fate of a massive star 210
Life cycle of massive stars 213
Evolution of a physically realistic collapse 215
Non-spherical models 225
Blackhole paradoxes 235
Resolution of a nakedsingularity 238
References 255
Index 269