Apparent horizons in D-dimensional Robinson-Trautman spacetime

Details Apparent horizons in D-dimensional Robinson-Trautman spacetime Apparent horizons in D-dimensional Robinson-Trautman spacetime

2008-12-17

arxiv.org/abs/0812.3345v1

AIP Conf.Proc.1122:404-407,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 figure, to appear in ERE 2008 conference proceedings, to be published by AIP

Scientific paper

10.1063/1.3141339

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.

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