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The quantization of a Kerr-AdS black hole

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arxiv 1708.04611 v1 pith:WGDKJ5SU submitted 2017-08-09 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords spacetimekerr-adsquantumeigenfunctionsextendedmodelstationarytemporal
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abstract

We apply our model of quantum gravity to a Kerr-AdS spacetime of dimension $2 m+1$, $m\ge2$, 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 stationary and temporal eigenfunctions. The stationary eigenfunctions can be interpreted as radiation and the temporal 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 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 $\rho=-a^2$.

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    gr-qc 2019-08 reject novelty 4.0 of 10

    Dark energy and dark matter are proposed to be, respectively, the vacuum and ground-state eigenvalues of a density operator from canonical quantum gravity, yielding accelerating Friedmann solutions under assumed low t...

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