2007/02/28 by S. Kloster, S Kloster, J. Brannlund +3
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Context (archaeology) #Entropy (arrow of time) #Genus #Loop (graph theory) #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Phase space #Quantum #Quantum gravity #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/25/6/065008
published as Class.Quant.Grav.25:065008,2008 · 22 pages, 9 figures. References updated. Minor changes to match version to appear in Class. Quant. Grav
arxiv created 2008/02/20 · openalex publication_date 2008/03/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the context of loop quantum gravity, we construct the phase space of isolated horizons with genus greater than 0. Within the loop quantum gravity framework, these horizons are described by genus g surfaces with N punctures and the dimension of the corresponding phase space is calculated including the genus cycles as degrees of freedom. From this, the black-hole entropy can be calculated by counting the microstates which correspond to a black hole of fixed area. We find that the leading term agrees with the A /4 law and that the sub-leading contribution is modified by the genus cycles.