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  Jang's equation and its applications to marginally trapped surfaces

Andersson, L., Eichmair, M., & Metzger, J. (2011). Jang's equation and its applications to marginally trapped surfaces. In Complex Analysis and Dynamical Systems IV: General relativity, geometry, and PDE (Contemporary Mathematics, 554) (pp. 13-46).

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-03A9-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-03AA-5
Genre: Book Chapter

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 Creators:
Andersson, Lars1, Author           
Eichmair, Michael, Author
Metzger, Jan, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP
 Abstract: In this paper we survey some recent advances in the analysis of marginally outer trapped surfaces (MOTS). We begin with a systematic review of results by Schoen and Yau on Jang's equation and its relationship with MOTS. We then explain recent work on the existence, regularity, and properties of MOTS and discuss the consequences for the trapped region. We include an outlook with some directions for future research.

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 Dates: 2010-06-232010-11-192011
 Publication Status: Issued
 Pages: 30 pages. To appear in the Proceedings of the Complex Analysis & Dynamical Systems IV Conference (Nahariya, Israel, May 2009)
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 Rev. Type: -
 Identifiers: arXiv: 1006.4601
URI: http://arxiv.org/abs/1006.4601
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Title: Complex Analysis and Dynamical Systems IV: General relativity, geometry, and PDE (Contemporary Mathematics, 554)
Source Genre: Book
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Pages: - Volume / Issue: 554 Sequence Number: - Start / End Page: 13 - 46 Identifier: -