1 A ug 2 00 7 The area of horizons and the trapped region
نویسنده
چکیده
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.
منابع مشابه
ar X iv : 0 90 1 . 26 19 v 1 [ gr - q c ] 1 7 Ja n 20 09 The trapped region
I will discuss some recent results on marginally outer trapped surfaces, apparent horizons and the trapped region. A couple of applications of the results developed for marginally outer trapped surfaces to coalescence of black holes and to the characterization of the trapped region are given.
متن کاملThe area of horizons and the trapped region
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 margina...
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