Apparent Horizons in Vacuum Robinson-Trautman Spacetimes
General Relativity and Quantum Cosmology
2009-02-19 v1
Abstract
Vacuum asymptotically flat Robinson-Trautman spacetimes are a well known class of spacetimes exhibiting outgoing gravitational radiation. In this paper we describe a method of locating the past apparent horizon in these spacetimes, and discuss the properties of the horizon. We show that the past apparent horizon is non-timelike, and that its surface area is a decreasing function of the retarded time. A numerical simulation of the apparent horizon is also discussed.
Cite
@article{arxiv.gr-qc/9503065,
title = {Apparent Horizons in Vacuum Robinson-Trautman Spacetimes},
author = {E. W. M. Chow and A. W. -C. Lun},
journal= {arXiv preprint arXiv:gr-qc/9503065},
year = {2009}
}
Comments
Talk given at the Inaugural Australian General Relativity Workshop, 26 September 1994. 14 pages, Latex, 4 Postscript figures (supplied as uuencoded compressed tar file), uses "epsf.tex" macros. Paper and figures also available from http://www.maths.monash.edu.au/~ernie/papers/