Spherically Symmetric Static Solutions of Einstein's Equations

Details Spherically Symmetric Static Solutions of Einstein's Equations Spherically Symmetric Static Solutions of Einstein's Equations

Sep 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969phrv..185.1664l&link_type=abstract

Physical Review, vol. 185, Issue 5, pp. 1664-1669

Physics

19

Scientific paper

A formal general solution of Einstein's equations in the static case containing an arbitrary function of r is obtained. A necessary and sufficient condition that the arbitrary function must satisfy in order that the solution be physically meaningful in the neighborhood of the center is established. A mapping from Newtonian solutions is indicated. The case of infinite pressure at the center is considered. New solutions are given as examples.

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