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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents

ID: 442484.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
The time evolution of marginally trapped surfaces
Authors:Andersson, Lars; Mars, Marc; Metzger, Jan; Simon, Walter
Date of Publication (YYYY-MM-DD):2009-04-21
Title of Journal:Classical and Quantum Gravity
Issue / Number:8
Sequence Number of Article:085018
Review Status:not specified
Audience:Not Specified
Abstract / Description:In previous work, we have shown the existence of a dynamical horizon or marginally outer trapped tube (MOTT) containing a given strictly stable marginally outer trapped surface (MOTS). In this paper, we show some results on the global behavior of MOTTs assuming the null energy condition. In particular, we show that MOTSs persist in the sense that every Cauchy surface in the future of a given Cauchy surface containing a MOTS also must contain a MOTS. We describe a situation where the evolving outermost MOTS must jump during the coalescence of two separate MOTSs. We furthermore characterize the behavior of MOTSs in the case that the principal eigenvalue vanishes under a genericity assumption. This leads to a regularity result for the tube of outermost MOTSs under the genericity assumption. This tube is then smooth up to finitely many jump times. Finally we discuss the relation of MOTSs to singularities of a spacetime.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:ISI:000264871800018 [ID No:1]
ISSN:0264-9381 [ID No:2]
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