Local existence of dynamical and trapping horizons

Details Local existence of dynamical and trapping horizons Local existence of dynamical and trapping horizons

2005-06-02

arxiv.org/abs/gr-qc/0506013v2

Phys.Rev.Lett. 95 (2005) 111102

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 figure, minor changes

Scientific paper

10.1103/PhysRevLett.95.111102

Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in a ``horizon'', i.e. a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation. We also show that under rather weak energy conditions this horizon must be either achronal or spacelike everywhere. Furthermore, we discuss the relation between ``bounding'' and ``stability'' properties of marginally outer trapped surfaces.

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