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Book Chapter

Jang's equation and its applications to marginally trapped surfaces

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

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1006.4601.pdf
(Preprint), 418KB

1006.4601v2.pdf
(Preprint), 358KB

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Citation

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).


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-03A9-7
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.