Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-01-14
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
to appear in proceedings of MGM12 Paris, France
Scientific paper
We derive the higher dimensional generalization of Penrose-Tod equation
describing past horizon in Robinson-Trautman spacetimes with a cosmological
constant and pure radiation. Results for D=4 dimensions are summarized.
Existence of its solutions in D>4 dimensions is proved using tools for
nonlinear elliptic partial differential equations.
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