Past horizons in Robinson-Trautman spacetimes with a cosmological constant

Details Past horizons in Robinson-Trautman spacetimes with a cosmological constant Past horizons in Robinson-Trautman spacetimes with a cosmological constant

2009-11-27

arxiv.org/abs/0911.5317v1

Phys.Rev.D80:124042,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 5 figures. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.80.124042

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.

Affiliated with

Also associated with

No associations

Rating

Past horizons in Robinson-Trautman spacetimes with a cosmological constant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Past horizons in Robinson-Trautman spacetimes with a cosmological constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Past horizons in Robinson-Trautman spacetimes with a cosmological constant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195980