Symmetry and singularity formation in expanding spacetimes

Details Symmetry and singularity formation in expanding spacetimes Symmetry and singularity formation in expanding spacetimes

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.3587o&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 12, 15 June 1989, pp.3587-3595

Mathematics

Logic

1

Fundamental Problems And General Formalism

Scientific paper

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.

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