The combinatorics of the SU(2) black hole entropy in loop quantum gravity
General Relativity and Quantum Cosmology
2009-10-07 v3 Mathematical Physics
math.MP
Abstract
We use the combinatorial and number-theoretical methods developed in previous work by the authors to study black hole entropy in the new proposal put forward by Engle, Noui and Perez. Specifically we give the generating functions relevant for the computation of the entropy and use them to derive its asymptotic behavior including the value of the Immirzi parameter and the coefficient of the logarithmic correction.
Cite
@article{arxiv.0906.4529,
title = {The combinatorics of the SU(2) black hole entropy in loop quantum gravity},
author = {Ivan Agullo and J. Fernando Barbero G. and Enrique F. Borja and Jacobo Diaz-Polo and Eduardo J. S. Villaseñor},
journal= {arXiv preprint arXiv:0906.4529},
year = {2009}
}
Comments
5 pages. Accepted for publication in Physical Review D