The quantization of a Kerr-AdS black hole

Abstract

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 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 $\rho =-a^2$.

20 pages. arXiv admin note: substantial text overlap with arXiv:1608.08209

References in corpus (4)

• A unified field theory I: The quantization of gravity
• A unified field theory II: Gravity interacting with a Yang-Mills and Higgs field
• The quantization of a black hole
• Deriving a complete set of eigendistributions for a gravitational wave equation describing the quantized interaction of gravity with a Yang-Mills field in case the Cauchy hypersurface is non-compact

Cited by in corpus (5)

• Multicritical Phase Transitions in Multiply Rotating Black Holes
• The quantization of gravity: The quantization of the full Einstein equations
• A partition function for Schwarzschild-AdS and Kerr-AdS black holes and for quantized globally hyperbolic spacetimes with a negative cosmological constant
• Quantizing the exterior region of a Schwarzschild-AdS black hole leads to a resolution of the information paradox on a quantum level
• Applications of canonical quantum gravity to cosmology