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Mass, angular-momentum and charge inequalities for axisymmetric initial data

Piotr T Chruściel1,3 and João Lopes Costa2,3

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We present the key elements of the proof of an upper bound for angular momentum and charge in terms of the mass for electro-vacuum asymptotically flat axisymmetric initial data sets with simply connected orbit space.


PACS

95.30.Sf Relativity and gravitation

97.60.Lf Black holes

04.50.-h Higher-dimensional gravity and other theories of gravity

04.70.-s Physics of black holes

MSC

83C57 Black holes

58K55 Asymptotic behavior

83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 23 (7 December 2009)

Received 6 July 2009, in final form 1 October 2009

Published 11 November 2009



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