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Apparent horizons in vacuum Robinson-Trautman spacetimes

Published online by Cambridge University Press:  17 February 2009

E. W. M. Chow  and
A. W.-C. Lun
E. W. M. Chow
Affiliation:
Department of Mathematics, Monash University, Clayton 3168, Australia.
A. W.-C. Lun
Affiliation:
Department of Mathematics, Monash University, Clayton 3168, Australia.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 2 , October 1999 , pp. 217 - 230
Copyright
Copyright © Australian Mathematical Society 1999

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