The thermodynamics of isolated horizons in loop quantum gravity

Autor: Song, Shupeng, Long, Gaoping, Zhang, Cong, Zhang, Xiangdong
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. D 106, 126007 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.106.126007
Popis: The statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawking temperature and horizon mass of isolated horizons as physical inputs, the microcanonical ensemble associated with the system are well established. As a result, the black hole entropy and other thermodynamical quantities can be computed and consistent with well-known Hawking's semiclassical analysis. Moreover, the value of the Immirzi parameter of loop quantum gravity for {higher dimensional case and 4-dimensional U(1) case are} also obtained.
Comment: 9 pages, 1 figure;V2, 12 pages, U(1) group case in 4 dimensions is included, figure updated
Databáze: arXiv