Fluid spacetimes admitting covariantly constant vectors and tensors

Details Fluid spacetimes admitting covariantly constant vectors and tensors Fluid spacetimes admitting covariantly constant vectors and tensors

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23.1113c&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 10, pp.1113-1142

Physics

5

Scientific paper

Spacetimes admitting a covariantly constant vector and satisfying the Einstein field equations for a perfect fluid, a viscous heat-conducting fluid, or an anisotropic fluid are studied. It is found that the only possible perfect fluid spacetimes are the Einstein static universe and ‘stiff-matter’ spacetimes with an isolated spatial co-ordinate, while the possible viscous fluid and anisotropic fluid spacetimes, although more abundant than their perfect fluid counterparts, must satisfy a number of strong restrictions. Examples illustrating most of the various possible situations are given. The paper concludes with a study of covariantly constant second-rank tensors in fluid spacetimes; the only possible solutions that do not also admit a covariantly constant vector are restricted to 2+2 spacetimes.

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