The Quantization of a Kerr‐AdS Black Hole

Claus Gerhardt

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: We apply our model of quantum gravity to a Kerr‐AdS space‐time of dimension 2m + 1, m ≥ 2, 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 r variable by ρ = r2 such that the extended space‐time has a timelike curvature singularity in ρ = −a2.

Date: 2018
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https://doi.org/10.1155/2018/4328312

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:4328312

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