TY - JOUR

T1 - Stationary black holes and attractor mechanism

AU - Astefanesei, Dumitru

AU - Yavartanoo, Hossein

N1 - Funding Information:
We thank Kevin Goldstein for collaboration in the initial stages of this work and for further discussions. It is also a pleasure to thank Soo-Jong Rey, Ashoke Sen, and Sandip Trivedi for useful conversations. D.A. would like to thank KIAS, Seoul for hospitality during part of this work. D.A. has presented this work at ISM06 Puri (December 2006), KIAS, Seoul (February 2007), YITP, Kyoto (February, 2007), TITECH, Tokyo (May 2007) and he likes to thank the audience at all these places for their positive feedback. The work of D.A. has been done with support from MEXT's program “Promotion of Environmental Improvement for Independence of Young Researchers” under the Special Coordination Funds for Promoting Science and Technology, Japan. D.A. also acknowledges support from NSERC of Canada. H.Y. would like to thank the Korea Research Foundation Leading Scientist Grant (R02-2004-000-10150-0) and Star Faculty Grant (KRF-2005-084-C00003). While this paper was being completed, Ref. [21] appeared which overlaps with the material presented in Section 3 .

PY - 2008/5/1

Y1 - 2008/5/1

N2 - We investigate the symmetries of the near horizon geometry of extremal stationary black hole 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) isometry. This compliments 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.

AB - We investigate the symmetries of the near horizon geometry of extremal stationary black hole 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) isometry. This compliments 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.

UR - http://www.scopus.com/inward/record.url?scp=38649143709&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.10.015

DO - 10.1016/j.nuclphysb.2007.10.015

M3 - Article

AN - SCOPUS:38649143709

VL - 794

SP - 13

EP - 27

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -