The combinatorics of the SU(2) black hole entropy in loop quantum gravity

Details The combinatorics of the SU(2) black hole entropy in loop quantum gravity The combinatorics of the SU(2) black hole entropy in loop quantum gravity

2009-06-24

arxiv.org/abs/0906.4529v3

Phys.Rev.D80:084006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages. Accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.80.084006

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.

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