Symmetry and singularity formation in expanding spacetimes

Roger Ove
Phys. Rev. D 39, 3587 – Published 15 June 1989
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Abstract

The influence of spatial symmetry on the formation of singularities is considered in the context of vacuum cosmological solutions to the Einstein equations. A practical means of screening arbitrary spacetimes for the possibility of trapped surfaces is described. Evidence is presented which supports the hypothesis that ‘‘local’’ trapped surfaces do not occur in T3×R spacetimes with a single Killing vector. This suggests that the analytic proof of the result for two-Killing-vector spacetimes of this variety can be generalized.

  • Received 27 January 1989

DOI:https://doi.org/10.1103/PhysRevD.39.3587

©1989 American Physical Society

Authors & Affiliations

Roger Ove

  • National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Champaign, Illinois 61820

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Issue

Vol. 39, Iss. 12 — 15 June 1989

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