Local existence of dynamical and trapping horizons

Andersson, Lars; Mars, Marc; Simon, Walter

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Local existence of dynamical and trapping horizons

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Andersson, Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Andersson, L., Mars, M., & Simon, W. (2005). Local existence of dynamical and trapping horizons. Physical Review Letters, 95(11): 111102.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4DE1-9

Abstract

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.