Past horizons in Robinson-Trautman spacetimes with a cosmological constant

Article

Past horizons in Robinson-Trautman spacetimes with a cosmological constant

Podolský, J.; Svítek, O.

Phys. Rev. D 80(12), 124042 (2009)

Abstract

We study past horizons in the class of type II Robinson-Trautman vacuum spacetimes with a cosmological constant. These exact radiative solutions of Einstein's equations exist in the future of any sufficiently smooth initial data, and they approach the corresponding spherically symmetric Schwarzschild-(anti-)de Sitter metric. By analytic methods we investigate the existence, uniqueness, location and character of the past horizons in these spacetimes. In particular, we generalize the Penrose-Tod equation for marginally trapped surfaces, which form such white-hole horizons, to the case of a nonvanishing cosmological constant, we analyze behavior of its solutions and visualize their evolutions. We also prove that these horizons are explicit examples of an outer trapping horizon and a dynamical horizon, so that they are spacelike past outer horizons.

Institute authors

Supported by

GACR 202/07/P284 — Gravitational waves in higher dimensions
GACR 202/08/0187 — Exact solutions in higher dimensional and classical gravity
LC06014 — Centrum teoretické astrofyziky
MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech

BibTeX

@article{UTF387,
  author        = {Podolský, J. and Svítek, O.},
  title         = {{Past horizons in Robinson-Trautman spacetimes with a cosmological constant}},
  journal       = {Phys. Rev. D},
  volume        = {80},
  number        = {12},
  pages         = {124042},
  year          = {2009},
  month         = {12},
  doi           = {10.1103/PhysRevD.80.124042},
  eprint        = {0911.5317},
  archivePrefix = {arXiv},
}