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Curvature estimates for stable marginally trapped surfaces

Lars Andersson Albert-Einstein-Institut Jan Metzger Universit¨at Potsdam

Differential Geometry mathscidoc:1609.10161

Journal of Differential Geometry, 84, (2), 231-265, 2010
We derive local integral and sup- estimates for the curvature of stable 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 interest, such as dynamical horizons.
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@inproceedings{lars2010curvature,
  title={CURVATURE ESTIMATES FOR STABLE MARGINALLY TRAPPED SURFACES},
  author={Lars Andersson, and Jan Metzger},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911210447378935818},
  booktitle={Journal of Differential Geometry},
  volume={84},
  number={2},
  pages={231-265},
  year={2010},
}
Lars Andersson, and Jan Metzger. CURVATURE ESTIMATES FOR STABLE MARGINALLY TRAPPED SURFACES. 2010. Vol. 84. In Journal of Differential Geometry. pp.231-265. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911210447378935818.
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