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Journal Article

The area of horizons and the trapped region

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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Metzger,  Jan
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0708.4252v3.pdf
(Preprint), 408KB

CMP290_941pdf.pdf
(Publisher version), 459KB

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Citation

Andersson, L., & Metzger, J. (2009). The area of horizons and the trapped region. Communications in Mathematical Physics, 290(3), 941-972. doi:10.1007/s00220-008-0723-y.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5FD6-7
Abstract
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.