Uniqueness theorem for 5-dimensional black holes with two axial killing fields

Hollands, Stefan and Yazadjiev, Stoytcho 2008. Uniqueness theorem for 5-dimensional black holes with two axial killing fields. Communications in Mathematical Physics 283 (3) , pp. 749-768. 10.1007/s00220-008-0516-3

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Abstract

We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their “interval structures” coincide. We also show that the horizon must be topologically either a 3-sphere, a ring, or a Lens-space. Our argument is a generalization of constructions of Morisawa and Ida (based in turn on key work of Maison) who considered the spherical case, combined with basic arguments concerning the nature of the factor manifold of symmetry orbits

Item Type:	Article
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer
ISSN:	0010-3616
Last Modified:	04 Feb 2018 01:38
URI:	https://orca.cardiff.ac.uk/id/eprint/13882

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