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. © Australian Mathematical Society 1999.
CITATION STYLE
Chow, E. W. M., & Lun, A. W. C. (1999). Apparent horizons in vacuum Robinson-Trautman spacetimes. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 41(2), 217–230. https://doi.org/10.1017/s0334270000011176
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