Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension

Article

Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension

Svítek, O.

1075 (2012)

Abstract

We derive the higher dimensional generalization of Penrose-Tod equation desribing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation. Results for D=4 dimenstions are summarized. Existence of its solutions in D>4 dimensions is proved using tools for nonlinear elliptic partial differential equations.

Institute authors

Svítek, Otakar

Supported by

GACR 202/07/P284 — Gravitational waves in higher dimensions
GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
LC06014 — Centrum teoretické astrofyziky

BibTeX

@article{UTF501,
  author        = {Svítek, O.},
  title         = {{Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension}},
  pages         = {1075},
  year          = {2012},
}