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Advances in Mathematical Physics
Volume 2018, Article ID 4328312, 10 pages
https://doi.org/10.1155/2018/4328312
Research Article

The Quantization of a Kerr-AdS Black Hole

Institut für Angewandte Mathematik, Ruprecht-Karls-Universität, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany

Correspondence should be addressed to Claus Gerhardt; ed.grebledieh-inu.htam@tdrahreg

Received 6 November 2017; Accepted 27 December 2017; Published 5 February 2018

Academic Editor: Eugen Radu

Copyright © 2018 Claus Gerhardt. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We apply our model of quantum gravity to a Kerr-AdS space-time of dimension , , where all rotational parameters are equal, resulting in a wave equation in a quantum space-time which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary eigenfunctions can be interpreted as radiation and the temporal ones as gravitational waves. The event horizon corresponds in the quantum model to a Cauchy hypersurface that can be crossed by causal curves in both directions such that the information paradox does not occur. We also prove that the Kerr-AdS space-time can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the variable by such that the extended space-time has a timelike curvature singularity in .