On spherically symmetric perfect fluid distributions and class one property

Details On spherically symmetric perfect fluid distributions and class one property On spherically symmetric perfect fluid distributions and class one property

Dec 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971gregr...2..385k&link_type=abstract

General Relativity and Gravitation, Volume 2, Issue 4, pp.385-386

Physics

5

Scientific paper

It is shown that for a spherically symmetric perfect fluid solution to be of class one, either (i) ɛ=0, or (ii) ɛ+R=0,ɛ andR being respectively the eigenvalue of the Weyl tensor in Petrov's classification and spur of the Ricci tensor. Hence, it is deduced that whereas every conformally flat perfect fluid solution is of class one, the converse is not true in general. However, the converse does hold for all solutions withρ=3p.

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