Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-02
Class. Quantum Grav. 26: 245010, 2009
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 28 pages. v2: minor changes, reference added
Scientific paper
10.1088/0264-9381/26/24/245010
We consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1 corresponding to supergravity). Assuming the black holes have two rotational symmetries, we show that their near-horizon geometries are either the direct product AdS_3 X S^2 or a warped product of AdS_2 and compact 3d space. In the AdS_2 case we are able to classify all possible near-horizon geometries with no magnetic fields. There are two such solutions: the direct product AdS_2 X S^3 as well as a warped product of AdS_2 and an inhomogeneous S^3. The latter solution turns out to be near-horizon limit of an extremal Reissner-Nordstrom black hole in an external electric field. In the AdS_2 case with magnetic fields, we reduce the problem (in all cases) to a single non-linear ODE. We show that if there are any purely magnetic solutions of this kind they must have S^1 X S^2 horizon topology, and for xi^2 <1/4 we find examples of solutions with both electric and magnetic fields.
Kunduri Hari K.
Lucietti James
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