Further remark concerning spherically symmetric nonstatic separable solutions to the Einstein equations in the comoving frame.

Details Further remark concerning spherically symmetric nonstatic separable solutions to the Einstein equations in the comoving frame. Further remark concerning spherically symmetric nonstatic separable solutions to the Einstein equations in the comoving frame.

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18.1079s&link_type=abstract

General Relativity and Gravitation, Volume 18, Issue 10, pp.1079-1083

Physics

2

General Relativity

Scientific paper

We consider nonstatic spherically symmetric fluid solutions to the Einstein equations which, in the comoving frame, have metric coefficients that are separable functions of their arguments and that have an origin. Subject to the vanishing of the heat flux, we show that all such solutions with shear and non-vanishing shear viscosity have a scalar polynomial singularity at the origin if the fluid satisfies both the weak and strong energy conditions. When combined with previous results [1] we conclude that for the metric forms under consideration, the only fluid solutions to the Einstein equations with vanishing heat flux which satisfy the energy conditions and are free of singularities at the origin are the Robertson-Walker solutions.

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