The Collapse of Large Extra Dimensions

Details The Collapse of Large Extra Dimensions The Collapse of Large Extra Dimensions

2001-12-12

arxiv.org/abs/gr-qc/0112026v1

Phys.Rev. D65 (2002) 104015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Uses revtex 4

Scientific paper

10.1103/PhysRevD.65.104015

In models of spacetime that are the product of a four-dimensional spacetime with an ``extra'' dimension, there is the possibility that the extra dimension will collapse to zero size, forming a singularity. We ask whether this collapse is likely to destroy the spacetime. We argue, by an appeal to the four-dimensional cosmic censorship conjecture, that--at least in the case when the extra dimension is homogeneous--such a collapse will lead to a singularity hidden within a black string. We also construct explicit initial data for a spacetime in which such a collapse is guaranteed to occur and show how the formation of a naked singularity is likely avoided.

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