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An overview on the Penrose inequality

Marc Mars

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A summary of the main results and ideas on the Penrose inequality is given. The original heuristic argument by Penrose leading to the inequality is reviewed and the main ideas behind the known proofs of particular cases are discussed. Some of the recent approaches to treat the general Penrose inequality, including the use of the Jang equation, the Bergqvist mass and the uniformly expanding flows are also described.


PACS

04.70.-s Physics of black holes

02.40.-k Geometry, differential geometry, and topology

04.20.Dw Singularities and cosmic censorship

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 1 (2007)



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