The Plateau problem for marginally outer trapped surfaces

Details The Plateau problem for marginally outer trapped surfaces The Plateau problem for marginally outer trapped surfaces

2007-11-27

arxiv.org/abs/0711.4139v3

Mathematics

Differential Geometry

To app. in J. Differential Geometry. New title, introduction rewritten with motivation and several concise references to the l

Scientific paper

We solve the Plateau problem for marginally outer trapped surfaces in general Cauchy data sets. We employ the Perron method and tools from geometric measure theory to force and control a blow-up of Jang's equation. Substantial new geometric insights regarding the lower order properties of marginally outer trapped surfaces are gained in the process. The techniques developed in this paper are flexible and can be adapted to other non-variational existence problems.

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