English

Black holes with only one Killing field

High Energy Physics - Theory 2011-08-30 v3 General Relativity and Quantum Cosmology

Abstract

We present the first examples of black holes with only one Killing field. The solutions describe five dimensional AdS black holes with scalar hair. The black holes are neither stationary nor axisymmetric, but are invariant under a single Killing field which is tangent to the null generators of the horizon. Some of these solutions can be viewed as putting black holes into rotating boson stars. Others are related to the endpoint of a superradiant instability. For given mass and angular momentum (within a certain range) several black hole solutions exist.

Keywords

Cite

@article{arxiv.1105.4167,
  title  = {Black holes with only one Killing field},
  author = {Oscar J. C. Dias and Gary T. Horowitz and Jorge E. Santos},
  journal= {arXiv preprint arXiv:1105.4167},
  year   = {2011}
}

Comments

38 pages, 7 figures. v2: Few comments and references added, typos fixed. v3: Reference added

R2 v1 2026-06-21T18:10:20.212Z