Singularity Theorems and Their Consequences

Abstract

This is a 20-year old review on singularities and singularity theorems. The main reason to submit it now is -apart from increasing its availability- to correct a very strange error that appears in the journal's online version: it contains wrong headers and footers in its 1st page. This has led to many wrong citations, and to some confusion. The pdf file here contains the right information. ORIGINAL ABSTRACT: A detailed study of the singularity theorems is presented. I discuss the plausibility and reasonability of their hypotheses, the applicability and implications of the theorems, as well as the theorems themselves. The consequences usually extracted from them, some of them without the necessary rigour, are widely and carefully analysed with many clarifying examples and alternative views.

PDF file correcting an error in the bibliographical information that appears in the journal's online version. 148 pages, 17 figures, 247 references. Review on singularities that was published in the GRG journal in 1998

Cited by in corpus (23)

• The 1965 Penrose singularity theorem
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal"
• Present status of the Penrose inequality
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Effects of Thermal Fluctuations on Non-minimal Regular Magnetic Black Hole
• Turning Big Bang into Big Bounce: I. Classical Dynamics
• Hidden past of dark energy cosmological models
• A Reformulation of the Hoop Conjecture
• Chronological spacetimes without lightlike lines are stably causal
• Lorentzian and signature changing branes
• Non-existence of self-similar solutions containing a black hole in a universe with a stiff fluid or scalar field or quintessence
• Classification of spacelike surfaces in spacetime
• Is the accelerated expansion evidence of a forthcoming change of signature on the brane?
• Accreting Fluids onto Regular Black Holes Via Hamiltonian Approach
• A singularity theorem based on spatial averages
• Spherical collapse of inhomogeneous dust cloud in the Lovelock theory
• On the causal characterization of singularities in spherically symmetric spacetimes
• Depletion of energy from Naked Singular regions during gravitational collapse
• Regularity of curve integrable spacetimes
• A New Type of Singularity Theorem
• A Correspondence Between Distances and Embeddings for Manifolds: New Techniques for Applications of the Abstract Boundary
• Widening the light cones on subsets of spacetime: some variations to stable causality