The Plateau problem for marginally outer trapped surfaces
By M. Eichmair. 2007
91 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bfad58d755bad695ebc03658d09726512c71bd0d
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy (2012, background): “(f) Comment: for discussion of a similar existence problem for ‘outer marginally trapped’ surfaces, see [35].”