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  Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes

Andersson, L., Mars, M., & Simon, W. (2008). Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes. Advances in Theoretical and Mathematical Physics, 12(4), 853-888.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-1429-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-03C8-1
Genre: Journal Article

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AdvTMP08-12-853.pdf (Publisher version), 503KB
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 Creators:
Andersson, Lars1, Author
Mars, Marc2, Author
Simon, Walter2, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24012              
2External Organizations, escidoc:persistent22              

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 Abstract: The present work extends our short communication L. Andersson, M. Mars and W. Simon, Local existence of dynamical and trapping hoTizons, Phys. Rev. Lett. 95 (2005), 111102. For smooth marginally outer trapped surfaces (MOTS) in a smooth spacetime, we define stability with respect to variations along arbitrary vectors v normal to the MOTS. After giving some introductory material about linear nonself-adjoint elliptic operators, we introduce the stability operator L, and we characterize stable MOTS in terms of sign conditions on the principal eigenvalue of L,. The main result shows that given a strictly stable MOTS So C Eo in a spacetime with a reference foliation Et, there is an open marginally outer trapped tube (MOTT), adapted to the reference foliation, which contains So. We give conditions under which the MOTT can be completed. Finally, we show that under standard energy conditions on the spacetime, the MOTT must be either locally achronal, spacelike or null.

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 Dates: 2008-08
 Publication Status: Published online
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 Rev. Method: Peer
 Identifiers: eDoc: 398739
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Title: Advances in Theoretical and Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 12 (4) Sequence Number: - Start / End Page: 853 - 888 Identifier: ISSN: 1095-0761