2008/02/29 by Ivan Agullo, Iván Agulló, J. Fernando Barbero G. +5 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.100.211301
published as Phys.Rev.Lett.100:211301,2008 · Accepted for publication in Physical Review Letters
arxiv created 2008/04/30 · openalex publication_date 2008/05/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We give an efficient method, combining number-theoretic and combinatorial ideas, 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 explicitly determine the number of solutions to the projection constraint. 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.