Speaker
Description
The spacetime geometry in a neighborhood of an extremal black hole (its near-horizon geometry) decouples from the exterior region. In Gaussian normal coordinates (GNC), the spacetime metric is completely fixed up to a function, a vector field and a metric on a horizon spatial cross-section. For non-extremal black holes, however, the geometry near the horizon does not decouple. We will explicitly construct the spacetime metric for the Kerr-(AdS) and black ring family of black hole solutions. The objective is to find a general structure for the geometry near the horizon, similar to what we have for extremal cases at least in a up to corrections in the radial direction transverse to the horizon. The work is motivated by studies showing that the `Kerr-CFT correspondence', which asserts that quantum gravity near an extreme black hole is a 2D conformal field theory, can be extended to the non-extreme case.