Gravitational Collapse and Spacetime Singularities

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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 blackhole physics.

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

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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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Product Details

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.

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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
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