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Curvature estimates for stable marginally trapped surfaces

Lars Andersson·Jan Metzger
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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.

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Lars Andersson, Jan Metzger. 2006-08-02. Curvature estimates for stable marginally trapped surfaces. https://arxiv.org/abs/gr-qc/0512106

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