Black hole state counting in Loop Quantum Gravity: A number theoretical approach
General Relativity and Quantum Cosmology
2008-11-26 v2 Mathematical Physics
math.MP
Abstract
We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and determine the number of solutions to the projection constraint analytically. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.
Cite
@article{arxiv.0802.4077,
title = {Black hole state counting in Loop Quantum Gravity: A number theoretical approach},
author = {Ivan Agullo and J. Fernando Barbero G. and Jacobo Diaz-Polo and Enrique Fernandez-Borja and Eduardo J. S. Villaseñor},
journal= {arXiv preprint arXiv:0802.4077},
year = {2008}
}
Comments
Accepted for publication in Physical Review Letters