Past horizons in Robinson-Trautman spacetimes with a cosmological constant
Podolský, J.; Svítek, O.
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.
type: | article |
journal: | Phys. Rev. D |
volume: | 80 |
nr: | 12 |
pages: | 124042 |
year: | 2009 |
month: | 12 |
eprint: | arXiv:0911.5317 |
grants: | Gravitational waves in higher dimensions, GAČR 202/07/P284; 2007-2009; hlavní řešitel: Otakar SvítekExact solutions in higher dimensional and classical gravity, GAČR 202/08/0187; 2008-2011; hlavní řešitel: Jiří PodolskýCentrum teoretické astrofyziky, MŠMT ČR LC06014; 2005-2009; hlavní řešitel: Jiří HoráčekFyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech, výzkumný záměr MSM0021620860; 2007-2013; hlavní řešitel: Jiří Bičák |