The Quantization of a Kerr-AdS Black Hole

We apply our model of quantum gravity to a Kerr-AdS spacetime of dimension \(2m+1, m\ge 2\) , where all rotational parameters are equal, resulting in a wave equation in a quantum spacetime which has a sequence of solutions that can be expressed as a product of spatial and temporal eigenfunctions of self-adjoint operators. The event horizon corresponds in the quantum model to a Cauchy hypersurface that is equipped with a smooth Riemann metric. We also prove that the Kerr-AdS spacetime can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the r variable by \(\rho ={r^2}\) such that the extended spacetime has a timelike curvature singularity in \(\rho ={-a^2}\)