Spectrum of quantum black holes and quasinormal modes
Abstract
The spectrum of multiple level transitions of a quantum black hole is considered and the linewidths calculated. Initial evidence is found for these higher order transitions in the spectrum of quasinormal modes for Schwarzschild and Kerr black holes, further bolstering the idea that there exists a correspondence principle between quantum transitions and classical “ringing modes.” Several puzzles are noted, including a finetuning problem between the linewidth and level degeneracy. A more general explanation is provided for why setting the Immirzi parameter of loop quantum gravity from the black hole spectrum necessarily gives the correct value for the black hole entropy.
 Publication:

Physical Review D
 Pub Date:
 February 2004
 DOI:
 10.1103/PhysRevD.69.044012
 arXiv:
 arXiv:grqc/0307089
 Bibcode:
 2004PhRvD..69d4012O
 Keywords:

 04.70.Dy;
 04.60.Pp;
 Quantum aspects of black holes evaporation thermodynamics;
 Loop quantum gravity quantum geometry spin foams;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 5 pages, 5 figures, version to appear in Phys. Rev. D