Seminarium Teorii Względności i Grawitacji

Firstly, we will review so-called quasi-local description of black hole horizon and present geometrical constraints (called near-horizon geometry equations) induced on it by Einstein equations. Next we will present solutions to these constraints on the axisymmetric, extremal horizon, in spacetime with a cosmological constant. We will account for proper boundary conditions, introduced in order to eliminate conical singularity. Lastly we will embed this solution in Kerr-de Sitter spacetime, with special attention kept on a doubly-extremal horizon. Zoom Meeting ID: 814 7211 6408 Passcode: 795365