Spherically Symmetric Nonstatic Perfect Fluid Solutions with Shear

Details Spherically Symmetric Nonstatic Perfect Fluid Solutions with Shear Spherically Symmetric Nonstatic Perfect Fluid Solutions with Shear

Aug 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28..919h&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 8, pp.919-934

Physics

6

Scientific paper

In this paper we investigate solutions of Einstein's field equations for the spherically symmetric perfect fluid case with shear and with vanishing acceleration. If these solutions have shear, they must necessarily be nonstatic. We examine the integrable cases of the field equations systematically. Among the cases with shear we find three known classes of solutions. The fourth class of solutions with shear leads to a generalized Emden-Fowler equation. This equation is discussed by means of Lie's method of point symmetries.

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