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Numerical Approaches to Spacetime Singularities. [PDF]
Living Rev Relativ, 2002 This Living Review updates a previous version which its itself an update of a review article. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases ...
Berger BK.
europepmc +4 more sources
Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse [PDF]
, 1993 We investigate the occurrence and nature of naked singularity for the inhomogeneous gravitational collapse of Tolman-Bondi dust clouds.It is shown that the naked singularities form at the center of the collapsing cloud in a wide class of collapse models ...
A. Ori +42 more
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Gravitational Energy in Spherical Symmetry [PDF]
, 1996 Various properties of the Misner-Sharp spherically symmetric gravitational energy E are established or reviewed. In the Newtonian limit of a perfect fluid, E yields the Newtonian mass to leading order and the Newtonian kinetic and potential energy to the
A. Ashtekar +50 more
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Ambient cosmology and spacetime singularities [PDF]
, 2014 We present a new approach to the issues of spacetime singularities and cosmic censorship in general relativity. This is based on the idea that standard 4-dimensional spacetime is the conformal infinity of an ambient metric for the 5-dimensional Einstein ...
Antoniadis, Ignatios, Cotsakis, Spiros
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On the global visibility of singularity in quasi-spherical collapse [PDF]
, 1998 We analyze here the issue of local versus the global visibility of a singularity that forms in gravitational collapse of a dust cloud, which has important implications for the weak and strong versions of the cosmic censorship hypothesis.
F. Cooperstock +14 more
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Is the shell-focusing singularity of Szekeres space-time visible? [PDF]
, 2007 The visibility of the shell-focusing singularity in Szekeres space-time—which represents quasispherical dust collapse—has been studied on numerous occasions in the context of the cosmic censorship conjecture. The various results derived have assumed that
Debnath, Ujjal, Nolan, Brien C.
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Topology of the ambient boundary and the convergence of causal curves [PDF]
, 2015 We discuss the topological nature of the boundary spacetime, the conformal infinity of the ambient cosmological metric. Due to the existence of a homothetic group, the bounding spacetime must be equipped not with the usual Euclidean metric topology but ...
Antoniadis, Ignatios, Cotsakis, Spiros
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, 2013 We present here an overview of our basic understanding and recent developments on spacetime singularities in the Einstein theory of gravity. Several issues related to physical significance and implications of singularities are discussed.
Joshi, Pankaj S.
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Initial data and the end state of spherically symmetric gravitational collapse [PDF]
, 1998 Generalizing earlier results on the initial data and the final fate of dust collapse, we study here the relevance of the initial state of a spherically symmetric matter cloud towards determining its end state in the course of a continuing gravitational ...
C J S Clarke +27 more
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Is general relativity `essentially understood' ?
, 2005 The content of Einstein's theory of gravitation is encoded in the properties of the solutions to his field equations. There has been obtained a wealth of information about these solutions in the ninety years the theory has been around.
Alcubierre +146 more
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