Apparent horizons in D-dimensional Robinson-Trautman spacetime
arXiv:0812.3345 · doi:10.1063/1.3141339
Abstract
We derive the higher dimensional generalization of Penrose-Tod equation describing apparent horizons in Robinson-Trautman spacetimes. New results concerning the existence and uniqueness of its solutions in four dimensions are proven. Namely, previous results of Tod are generalized to nonvanishing cosmological constant.
4 pages, 1 figure, to appear in ERE 2008 conference proceedings, to be published by AIP