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

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arxiv 0707.2775 v2 pith:E73EBZI6 submitted 2007-07-18 gr-qc

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

Stefan Hollands , Stoytcho Yazadjiev This is my paper
classification gr-qc
keywords axialblackholesangularargumentargumentsasymptoticallybasic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 ``rod 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.

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Cited by 3 Pith papers

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