2018/04/03 by Abhishek Majhi, Majhi, Abhishek
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1804.01003
5 pages, 1 figure
arxiv created 2018/04/03 · openalex publication_date 2018/04/03 · arxiv updated 2018/04/04 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
Considering the possibility of `renormalization' of the gravitational constant on the horizon, leading to a dependence on the level of the associated Chern-Simons theory, a rescaled area spectrum is proposed for the non-rotating black hole horizon in loop quantum gravity. The statistical mechanical calculation leading to the entropy provides a unique choice of the rescaling function for which the Bekenstein-Hawking area law is yielded without the need to choose the Barbero-Immirzi parameter (γ). γ is determined by studying the limit in which the `renormalized' gravitational constant on the horizon asymptotically approaches the `bare' value. Unlike the usual, much criticized, practice of choosing γ just for the sake of the entropy matching the area law, its value is now rather determined by a physical consistency requirement.