Radiative spacetimes approaching the Vaidya metric

Details Radiative spacetimes approaching the Vaidya metric Radiative spacetimes approaching the Vaidya metric

2005-06-03

arxiv.org/abs/gr-qc/0506016v1

Phys.Rev. D71 (2005) 124001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 3 figures

Scientific paper

10.1103/PhysRevD.71.124001

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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