The positive mass theorem for multiple rotating charged black holes

Marcus Khuri; Gilbert Weinstein

doi:10.1007/s00526-016-0969-8

The positive mass theorem for multiple rotating charged black holes

Marcus Khuri, Gilbert Weinstein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

In this paper a lower bound for the ADM mass is given in terms of the angular momenta and charges of black holes present in axisymmetric initial data sets for the Einstein–Maxwell equations. This generalizes the mass-angular momentum-charge inequality obtained by Chrusciel and Costa to the case of multiple black holes. We also weaken the hypotheses used in the proof of this result for single black holes, and establish the associated rigidity statement.

Original language	English
Article number	33
Journal	Calculus of Variations and Partial Differential Equations
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s00526-016-0969-8
State	Published - 1 Apr 2016

Keywords

83C22
83C57

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10.1007/s00526-016-0969-8

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The positive mass theorem for multiple rotating charged black holes

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