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The Quantization of a Kerr-AdS Black Hole

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  • Claus Gerhardt

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 .

Suggested Citation

  • Claus Gerhardt, 2018. "The Quantization of a Kerr-AdS Black Hole," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-10, February.
    • Handle: RePEc:hin:jnlamp:4328312
    DOI: 10.1155/2018/4328312
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