Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-06-28
Phys.Rev.D84:044027,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
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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