Curvature estimates for stable marginally trapped surfaces

Details Curvature estimates for stable marginally trapped surfaces Curvature estimates for stable marginally trapped surfaces

2005-12-19

arxiv.org/abs/gr-qc/0512106v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages. This is a major rework of the previous version. It extends the curvature estimates to no longer require global area

Scientific paper

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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