2010/04/26 by J. Manuel Garcia-Islas, J. Manuel García-Islas
Mathematics · Physics and Astronomy · #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Euclidean geometry #Formalism (music) #Geometry #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantum #Quantum gravity #Quantum mechanics #Spin foam #Statistical physics #Theoretical physics #de Sitter–Schwarzschild metric #gr-qc
paper · pdf · doi:10.1088/0264-9381/27/14/145020
published as Class.Quant.Grav.27:145020,2010 · 11 pages, 1 figure
arxiv created 2010/04/26 · openalex publication_date 2010/06/08 · arxiv updated 2012/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently an idea for computing the entropy of black holes in the spin foam formalism has been introduced. Particularly complete calculations for the three dimensional euclidean BTZ black hole were done. The whole calculation is based on observables living at the horizon of the black hole universe. Departing from this idea of observables living at the horizon, we now go further and compute the entropy of BTZ black hole in the spirit of statistical mechanics. We compare both calculations and show that they are very interrelated and equally valid. This latter behaviour is certainly due to the importance of the observables.