Past horizons in D-dimensional Robinson-Trautman spacetimes

Abstract

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.

to appear in Phys. Rev. D

References in corpus (4)

• Understanding the "anti-kick" in the merger of binary black holes
• Robinson-Trautman spacetimes in higher dimensions
• Deformation of Codimension-2 Surface and Horizon Thermodynamics
• Radiative spacetimes approaching the Vaidya metric

Cited by in corpus (5)

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• Robinson-Trautman solution with scalar hair
• Robinson--Trautman solution with nonlinear electrodynamics
• Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions
• Nonsymmetric Dynamical Thin-Shell Wormhole in Robinson--Trautman Class