English

A uniqueness theorem for stationary Kaluza-Klein black holes

General Relativity and Quantum Cosmology 2011-03-02 v2

Abstract

We prove a uniqueness theorem for stationary DD-dimensional Kaluza-Klein black holes with D2D-2 Killing fields, generating the symmetry group R×U(1)D3{\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.

Keywords

Cite

@article{arxiv.0812.3036,
  title  = {A uniqueness theorem for stationary Kaluza-Klein black holes},
  author = {Stefan Hollands and Stoytcho Yazadjiev},
  journal= {arXiv preprint arXiv:0812.3036},
  year   = {2011}
}

Comments

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