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  The time evolution of marginally trapped surfaces

Andersson, L., Mars, M., Metzger, J., & Simon, W. (2009). The time evolution of marginally trapped surfaces. Classical and Quantum Gravity, 26: 085018. doi:10.1088/0264-9381/26/8/085018.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-653C-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-653E-0
Genre: Journal Article

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0811.4721 (Preprint), 221KB
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 Creators:
Andersson, Lars1, Author
Mars, Marc, Author
Metzger, Jan1, Author
Simon, Walter, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: In previous work we have shown the existence of a dynamical horizon or marginally 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 seperate 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 space-time.

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 Dates: 2008-11-282009-04-062009
 Publication Status: Issued
 Pages: 21 pages. This revision corrects some typos and contains more detailed proofs than the original version
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 Rev. Type: -
 Identifiers: arXiv: 0811.4721
DOI: 10.1088/0264-9381/26/8/085018
URI: http://arxiv.org/abs/0811.4721
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 26 Sequence Number: 085018 Start / End Page: - Identifier: Other: 954925513480
ISSN: 0264-9381