Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-08-30
Commun.Math.Phys.290:941-972,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
44 pages, v3: small changes in presentation
Scientific paper
10.1007/s00220-008-0723-y
This paper considers some fundamental questions concerning marginally trapped surfaces, or apparent horizons, in Cauchy data sets for the Einstein equation. An area estimate for outermost marginally trapped surfaces is proved. The proof makes use of an existence result for marginal surfaces, in the presence of barriers, curvature estimates, together with a novel surgery construction for marginal surfaces. These results are applied to characterize the boundary of the trapped region.
Andersson L.-L.
Metzger J. J.
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