Singularities in separable metrics with spherical, plane, and hyperbolic symmetry.

Details Singularities in separable metrics with spherical, plane, and hyperbolic symmetry. Singularities in separable metrics with spherical, plane, and hyperbolic symmetry.

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20.1007s&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 10, pp.1007-1018

Physics

6

General Relativity

Scientific paper

We obtain all possible solutions to the Einstein equations for a perfect fluid with a metric of the form ds^2 = - w^2 (x)v^2 (t)dt^2 + g^2 (t)S^2 (x)dx^2 + A^2 (t)B^2 (x)[d which obey the weak and strong energy conditions and do not contain scalar polynomial singularities on surfacesx = const. We show that the only nonstatic solutions satisfying these conditions are the Robertson-Walker spacetimes, spacetimes withw = S = B = 1, and a class of plane symmetric solutions.

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