Stationary black holes and attractor mechanism

Details Stationary black holes and attractor mechanism Stationary black holes and attractor mechanism

2007-06-13

arxiv.org/abs/0706.1847v4

Nucl.Phys.B794:13-27,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures; V2: minor changes, misprints corrected, expanded references; V4: misprints corrected, expanded reference

Scientific paper

10.1016/j.nuclphysb.2007.10.015

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 $SO(2,1)\times U(1)$ 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.

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