Involute, minimal, outer and increasingly trapped spheres

Details Involute, minimal, outer and increasingly trapped spheres Involute, minimal, outer and increasingly trapped spheres

2009-05-25

arxiv.org/abs/0905.3950v2

Phys.Rev.D81:024037,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Substantially extended to include detailed study of static space-times. 10 REVTeX4 pages

Scientific paper

10.1103/PhysRevD.81.024037

Seven different refinements of trapped surfaces are proposed, each intended as potential stability conditions. This article concerns spherical symmetry, but each condition can be generalized. Involute trapped spheres satisfy a similar condition to minimal trapped spheres, which are are strictly minimal with respect to the Kodama vector. There is also a weaker version of involute trapped. Outer trapped spheres have positive surface gravity. Increasingly (future, respectively past) trapped spheres generate spheres which are more trapped in a (future, respectively past) causal direction, with three types: in any such causal direction, along the dual Kodama vector, and in some such causal direction. Assuming the null energy condition, the seven conditions form a strict hierarchy, in the above order. In static space-times, they reduce to three inequivalent definitions, namely minimal, outer and increasingly trapped spheres. For a widely considered class of so-called nice (or non-dirty) black holes, minimal trapped and outer trapped become equivalent. Reissner-Nordstr\"om black holes provide examples of this, and that increasingly trapped differs. Examples where all three refinements differ are provided by a simple family of dirty black holes parameterized by mass and singularity area.

Affiliated with

Also associated with

No associations

Rating

Involute, minimal, outer and increasingly trapped spheres 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 Involute, minimal, outer and increasingly trapped spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Involute, minimal, outer and increasingly trapped spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-294238