On attractor mechanism of $AdS_{4}$ black holes

Understand

We construct a general family of exact non-extremal 4-dimensional black holes in AdS gravity with U(1) gauge fields non-minimally coupled to a dilaton and a non-trivial dilaton potential.

• These black holes can have spherical, toroidal, and hyperbolic horizon topologies.
• We use the entropy function formalism to obtain the near horizon data in the extremal limit.
• Due to the non-trivial self-interaction of the scalar field, the zero temperature black holes can have a finite horizon area even if only the electric field is turned on.