Past horizons in D-dimensional Robinson-Trautman spacetimes

Article

Past horizons in D-dimensional Robinson-Trautman spacetimes

Svítek O.

Phys. Rev. D 84(4), 044027 (2011)

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.

Institute authors

Svítek, Otakar

Supported by

GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
LC06014 — Centrum teoretické astrofyziky

BibTeX

@article{UTF437,
  author        = {Svítek O.},
  title         = {{Past horizons in D-dimensional Robinson-Trautman spacetimes}},
  journal       = {Phys. Rev. D},
  volume        = {84},
  number        = {4},
  pages         = {044027},
  year          = {2011},
  doi           = {10.1103/PhysRevD.84.044027},
  eprint        = {1106.5674v1},
  archivePrefix = {arXiv},
  url           = {http://prd.aps.org/abstract/PRD/v84/i4/e044027},
}