Compactness Theorems and Degree Theory for MOTS

Details Compactness Theorems and Degree Theory for MOTS Compactness Theorems and Degree Theory for MOTS

2011-05-29

arxiv.org/abs/1105.5805v3

Mathematics

Differential Geometry

The paper have been withdrawn since the cornerstone area estimate (Theorem 2.1 Ho, Pak Tung, "A first eigenvalue estimate for

Scientific paper

We prove in this paper that, under suitable coinditions on an initial data set, we can obtain Area and Curvature Estimates for simple marginally outer trapped surfaces (or MOTS). Using this estimates, we derive a Compactness Theorem for MOTS. Moreover, the Compactness Theorem will allow us to adapt the recent Degree Theory of H. Rosenberg and G. Smith for proving existence results for embedded MOTS in suitable compact initial data sets

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