A uniqueness theorem for stationary Kaluza-Klein black holes

Details A uniqueness theorem for stationary Kaluza-Klein black holes A uniqueness theorem for stationary Kaluza-Klein black holes

2008-12-16

arxiv.org/abs/0812.3036v2

Commun.Math.Phys.302:631-674,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 38 pages, no figures; v2: removed condition from statement of main theorem, additional material on spacetime topology,

Scientific paper

10.1007/s00220-010-1176-7

We prove a uniqueness theorem for stationary $D$-dimensional Kaluza-Klein black holes with $D-2$ Killing fields, generating the symmetry group ${\mathbb R} \times U(1)^{D-3}$. 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.

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