J un 2 00 5 Radiative spacetimes approaching the Vaidya metric
نویسنده
چکیده
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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تاریخ انتشار 2008