Analytic continuation of the rotating black hole state counting

作者:Ben Achour, Jibril*; Noui, Karim; Perez, Alejandro
来源:The Journal of High Energy Physics, 2016, 2016(8): 149.
DOI:10.1007/JHEP08(2016)149

摘要

In loop quantum gravity, a spherical black hole can be described in terms of a Chern-Simons theory on a punctured 2-sphere. The sphere represents the horizon. The punctures are the edges of spin-networks in the bulk which cross the horizon and carry quanta of area. One can generalize this construction and model a rotating black hole by adding an extra puncture colored with the angular momentum J in the 2-sphere. We compute the entropy of rotating black holes in this model and study its semi-classical limit. After performing an analytic continuation which sends the Barbero-Immirzi parameter to gamma = +/- i, we show that the leading order term in the semi-classical expansion of the entropy reproduces the Bekenstein-Hawking law independently of the value of J.