  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.

High Energy Physics - Theory;General Relativity and Quantum Cosmology