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Journal Article

Curvature estimates for stable marginally trapped surfaces

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

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

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0512106.pdf
(Preprint), 265KB

JDG1274707313.pdf
(Any fulltext), 261KB

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Citation

Andersson, L., & Metzger, J. (2010). Curvature estimates for stable marginally trapped surfaces. Journal of differential geometry, 84, 231-265.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5F82-3
Abstract
We derive integral and sup-estimates for the curvature of stably marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situations of physical insterest, such as dynamical horizons.