GRAVITATIONAL COLLAPSE AND SPACETIME SINGULARITIES

By N. GIDAS

CONTENTS INTRODUCTION THE SPACETIME MANIFOLD THE MANIFOLD MODEL THE METRIC TENSOR CONNECTION NON-SPACELIKE GEODESICS SPACETIME CURVATURE THE EINSTEIN EQUATIONS EXACT SOLUTIONS SPHERICAL COLLAPSE BASIC FRAMEWORK REGULARITY CONDITIONS COLLAPSING MATTER CLOUDS NATURE OF SINGULARITIES EXTERIOR GEOMETRY DUST COLLAPSE EQUATION OF STATE COSMIC CENSORSHIP CAUSAL STRUCTURE SPACETIME SINGULARITIES BLACKHOLES HIGHER SPACETIME DIMENSIONS FORMULATING THE CENSORSHIP GENERICITY AND STABILITY FINAL FATE OF A MASSIVE STAR LIFE CYCLE OF MASSIVE STARS EVOLUTION OF A PHYSICALLY REALISTIC COLLAPSE NON-SPHERICAL MODELS BLACKHOLE PARADOXES RESOLUTION OF A NAKED SINGULARITY REFERENCES