1207.4689 (Christian Röken)

On the Nature of Black Holes in Loop Quantum Gravity    [PDF]

Christian Röken

A genuine notion of black holes can only be obtained in the fundamental framework of quantum gravity resolving the curvature singularities and giving an account of the statistical mechanical, microscopic degrees of freedom able to explain the black hole thermodynamic properties. As for all quantum systems, a quantum realization of black holes requires an operator algebra of the fundamental observables of the theory which is introduced in this study based on aspects of loop quantum gravity. From the eigenvalue spectra of the operators for the black hole area, charge and angular momentum, it is demonstrated that a more general bound on the extensive parameters, other than the relation arising in general relativity, holds, implying that the extremal black hole state can merely be reached asymptotically, while the lowest eigenvalue of the black hole mass spectrum indicates, on the one hand, a Planck scale cutoff ending the final phase of the evaporation process with a massive, ultra-dense, extremely hot remnant and, on the other hand, gives a rough estimate of the numerical value of the Immirzi parameter. This analysis provides an approximative description of the dynamics and the nature of quantum black holes.

View original: http://arxiv.org/abs/1207.4689