Speaker
Description
Isolated horizons provide a local generalization of black hole horizons that does not require the existence of a global symmetry and admits matter content arbitrarily close to the surface. Remarkably, in General Relativity, the geometries of Petrov Type D and extremal isolated horizons are governed by equations stated on a 2D local section of the horizon, namely the Petrov type D Equation and the Near-Horizon Geometry Equation. I will present a general solution of the said equations for spherical horizons, and use them to construct a horizon with product topology and possibly a conical singularity or a novel type: a non-singular, compact horizon with topology of a non-trivial U(1) bundle. Finally, I will discuss their embeddings into the Plebański-Demiański spacetimes with the NUT parameter.