Separability of Klein-Gordon equation on near horizon extremal Myers-Perry black hole

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

A new result on the Klein-Gordon equation in the background of a rotating black hole

This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential self-adjointness of the spatial part of a reduced normalized wave operator of the Kerr metric in a weighted L2-space. As a consequence, it leads to a purely operator the...

A note on the Klein–Gordon equation in the background of a rotating black hole

This short paper should serve as a basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential self-adjointness of the spatial part of a reduced normalized wave operator of the Kerr metric in a weighted L2-space. As a consequence, it leads to a purely operator t...

Near-horizon symmetries of extremal black holes

Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2, 1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravi...

Black Hole Entropy from Near–Horizon Microstates

Black holes whose near–horizon geometries are locally, but not necessarily globally, AdS3 (three–dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS3 is a conformal field theory, we microscopically compute the black hole entropy from the asymptotic growth of states. Precise numerical agreement with the Bekenstein-Hawking area formula for the entropy is f...