Seminarium Teorii Względności i Grawitacji

Theory of isolated horizons is a robust, local generalizationof a theory of black hole horizons. The Einstein Equations induce a socalled Petrov Type D equation determining the geometry of the horizonirrespective of their embedding as well as provide a necessary conditionfor the Petov type of the embedded horizon.I will present two new families of solutions in the case when thehorizon admits a structure of a U(1)-principle bundle;First, when the space of the null generators is a Riemann surface withgenus > 0.Second, when the space of the null generators is a sphere, however thebundle action is not generated by the vector field null at the horizon.Additionally these horizons may be viewed as a general family ofspherical horizon with a conical singularity.The latter example appears naturally in Kerr-NUT-(a)dS spacetimes withregularized conical singularity, while the former is embeddable in toricand hyperbolic Taub-(a)dS spacetimes.