Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Phys. Rev. D 71(0), 124001-+ (2005)
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.
@article{UTF178,
author = {Podolský, J and Svítek, O.},
title = {{Radiative spacetimes approaching the Vaidya metric}},
journal = {Phys. Rev. D},
volume = {71},
number = {0},
pages = {124001-+},
year = {2005},
doi = {10.1103/PhysRevD.71.124001},
eprint = {gr-qc/0506016},
archivePrefix = {arXiv},
url = {http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf\&id=PRVDAQ000071000012124001000001\&idtype=cvips\&prog=normal},
}