A relation between the Szekeres quasispherical gravitational collapse solution and the Robinson-Trautman metrics

Details A relation between the Szekeres quasispherical gravitational collapse solution and the Robinson-Trautman metrics A relation between the Szekeres quasispherical gravitational collapse solution and the Robinson-Trautman metrics

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16.1039g&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Nov. 1984, p. 1039-1043.

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Computational Astrophysics, Gravitational Collapse, Metric Space, Einstein Equations

Scientific paper

A version of the Robinson-Trautman (1962) metric for pure radiation is obtained by the application of a limiting procedure to the quasispherical gravitational collapse solution. The procedure is interpreted in such a way that the particles making up the dust in the Szerkeres solution are allowed to become massless. As a result of the equality of two special forms of the Robinson-Trautman metric it is shown that in the pure radiation limit of the Szerkeres solution, the vector k is not only shear-free but also geodesic.

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