A Uniqueness Theorem for Stationary Kaluza-Klein Black Holes

We prove a uniqueness theorem for stationary D -dimensional Kaluza-Klein black holes with D − 2 Killing fields, generating the symmetry group . It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a numb...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 302; no. 3; pp. 631 - 674
Main Authors Hollands, Stefan, Yazadjiev, Stoytcho
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.03.2011
Springer
Subjects
Classical and Quantum Gravitation
Complex Systems
Exact sciences and technology
Mathematical and Computational Physics
Mathematical methods in physics
Mathematical Physics
Other topics in mathematical methods in physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Orbit Space
Manifold
Isometry Group
Black Hole
Uniqueness Theorem
Integer
Symmetry groups
Uniqueness theorem
Mathematical physics
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ISSN0010-3616
1432-0916
DOI10.1007/s00220-010-1176-7

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Summary:We prove a uniqueness theorem for stationary D -dimensional Kaluza-Klein black holes with D − 2 Killing fields, generating the symmetry group . It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a number of real moduli, as well as integer vectors subject to certain constraints.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-010-1176-7