Apparent horizons in D-dimensional Robinson–Trautman spacetime

Conference paper

Apparent horizons in D-dimensional Robinson–Trautman spacetime

Svítek O.

In: Proceedings of ERE 08 conference (2008)

Abstract

We derive the higher dimensional generalization of Penrose–Tod equation describing apparent horizons in Robinson–Trautman spacetimes. New results concerning the existence and uniqueness of its solutions in four dimensions are proven. Namely, previous results of Tod are generalized to nonvanishing cosmological constant.

Keywords

apparent horizon, higher dimensions

Institute authors

Svítek, Otakar

Supported by

GACR 202/07/P284 — Gravitational waves in higher dimensions
LC06014 — Centrum teoretické astrofyziky

BibTeX

@inproceedings{UTF339,
  author        = {Svítek O.},
  title         = {{Apparent horizons in D-dimensional Robinson–Trautman spacetime}},
  booktitle     = {Proceedings of ERE 08 conference},
  year          = {2008},
}