English

The quantization of a black hole

General Relativity and Quantum Cosmology 2016-09-22 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We apply our model of quantum gravity to an AdS black hole 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.

Keywords

Cite

@article{arxiv.1608.08209,
  title  = {The quantization of a black hole},
  author = {Claus Gerhardt},
  journal= {arXiv preprint arXiv:1608.08209},
  year   = {2016}
}

Comments

13 pages, v2: Minor modification: The factor (n-1) in front of the harmonic oscillator is no longer eliminated by a suitable coordinate transformation

R2 v1 2026-06-22T15:34:15.650Z