(09.11.) Black Hole Horizon Geometries and Topologies in Higher Dimensions
09.11.2017 at 16:15
Black hole geometries and topologies increase dramatically with increasing spacetime dimension. There is a vast landscape of black hole solutions in vacuum Einstein gravity and in supergravity. However, the number of analytically known solutions is extremely low and one must resort to perturbative methods. A powerful effective theory for constructing new solutions in any gravitational theory can be used to find new solutions. This theory consists of the dynamics of finite temperature branes, analogously to the dynamics of D-branes in string theory. Its excitations are governed by hydrodynamics and elastodynamics. I will review how this theory can be applied in a variety of contexts, including asymptotically flat space as well as (Anti)-deSitter, and what non-trivial solutions can be obtained, including the case of helicoidal black rings. I will also present evidence for the existence of the first extremal black hole solutions with disconnected horizons in vacuum Einstein gravity, as well as other more exotic black hole solutions. If time permits, I will discuss connections between this effective theory and the coupling of probe branes to supergravity.
Arnold Sommerfeld Center