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Radiative spacetimes approaching the Vaidya metric

Jiri Podolsky·Otakar Svitek
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Abstract

We analyze a class of exact type II solutions of the Robinson-Trautman family which contain pure radiation and (possibly) a cosmological constant. It is shown that these spacetimes exist for any sufficiently smooth initial data, and that they approach the spherically symmetric Vaidya-(anti-)de Sitter metric. We also investigate extensions of the metric, and we demonstrate that their order of smoothness is in general only finite. Some applications of the results are outlined.

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Jiri Podolsky, Otakar Svitek. 2005-06-03. Radiative spacetimes approaching the Vaidya metric. https://doi.org/10.1103/physrevd.71.124001

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