Past horizons in D-dimensional Robinson-Trautman spacetimes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.84.044027

We derive the higher dimensional generalization of Penrose--Tod equation describing past horizon in Robinson--Trautman spacetimes with a cosmological constant and pure radiation. Existence of its solutions in $D>4$ dimensions is proved using tools for nonlinear elliptic partial differential equations. We show that this horizon is naturally a trapping and a dynamical horizon. The findings generalize results from D=4.

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