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Jang's equation and its applications to marginally trapped surfaces

Published 23 Jun 2010 in gr-qc and math.AP | (1006.4601v2)

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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