English

Stationary black holes and attractor mechanism

High Energy Physics - Theory 2008-11-26 v4 General Relativity and Quantum Cosmology

Abstract

We investigate the symmetries of the near horizon geometry of extremal stationary black holes in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horizon geometry has SO(2,1)×U(1)SO(2,1)\times U(1) isometry. This complements the rotating attractors proposal of hep-th/0606244 that had assumed the presence of this isometry. The extremal solutions are classified into two families differentiated by the presence or absence of an ergo-region. We also comment on the attractor mechanism of both branches.

Keywords

Cite

@article{arxiv.0706.1847,
  title  = {Stationary black holes and attractor mechanism},
  author = {Dumitru Astefanesei and Hossein Yavartanoo},
  journal= {arXiv preprint arXiv:0706.1847},
  year   = {2008}
}

Comments

18 pages, no figures; V2: minor changes, misprints corrected, expanded references; V4: misprints corrected, expanded references, matches the published version