Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension

Details Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension

2010-01-14

arxiv.org/abs/1001.2395v1

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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