On marginally outer trapped surfaces in stationary and static spacetimes

Details On marginally outer trapped surfaces in stationary and static spacetimes On marginally outer trapped surfaces in stationary and static spacetimes

2007-11-08

arxiv.org/abs/0711.1299v2

Class.Quant.Grav.25:055011,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 3 figures; 1 reference added, 1 figure changed, other minor changes

Scientific paper

10.1088/0264-9381/25/5/055011

In this paper we prove that for any spacelike hypersurface containing an untrapped barrier in a stationary spacetime satisfying the null energy condition, any marginally outer trapped surface cannot lie in the exterior region where the stationary Killing vector is timelike. In the static case we prove that any marginally outer trapped surface cannot penetrate into the exterior region where the static Killing vector is timelike. In fact, we prove these result at an initial data level, without even assuming existence of a spacetime. The proof relies on a powerful theorem by Andersson and Metzger on existence of an outermost marginally outer trapped surface.

Affiliated with

Also associated with

No associations

Rating

On marginally outer trapped surfaces in stationary and static spacetimes 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 On marginally outer trapped surfaces in stationary and static spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On marginally outer trapped surfaces in stationary and static spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377808