Classical formulation of Cosmic Censorship Hypothesis

Details Classical formulation of Cosmic Censorship Hypothesis Classical formulation of Cosmic Censorship Hypothesis

2002-01-13

arxiv.org/abs/gr-qc/0201041v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4, No figures, Replaced to match submitted version, New Discussion and reference added. Conclusions unchanged

Scientific paper

Spacetimes admitting appropriate spatial homothetic Killing vectors are called spatially homothetic spacetimes. Such spacetimes conform to the fact that gravity has no length-scale for matter inhomogeneities. The matter density for such spacetimes is (spatially) arbitrary and the matter generating the spacetime admits {\it any} equation of state. Spatially homothetic spacetimes necessarily possess energy-momentum fluxes. We first discuss spherically symmetric and axially symmetric examples of such spacetimes that do not form naked singularities for regular initial data. We then show that the Cosmic Censorship Hypothesis is {\em equivalent} to the statement that gravity has no length-scale for matter properties.

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