Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-12-17
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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