Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics

Autor: Bráulio B. Soares, Edésio M. Barboza, Jorge Ananias Neto, Everton M. C. Abreu
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Physics Letters
Physics Letters B, Vol 798, Iss, Pp-(2019)
Popis: It is argued that, using the black hole area entropy law together with the Boltzmann-Gibbs statistical mechanics and the quasinormal modes of the black holes, it is possible to determine univocally the lowest possible value for the spin $j$ in the context of the Loop Quantum Gravity theory which is $j_{min}=1$. Consequently, the value of Immirzi parameter is given by $\gamma = \ln 3/(2\pi\sqrt{2})$. In this paper, we have shown that if we use Tsallis microcanonical entropy rather than Boltzmann-Gibbs framework then the minimum value of the label $j$ depends on the nonextensive $q$-parameter and may have values other than $j_{min}=1$.
Comment: 8 pages, 2 figures, version accepted for publication in PLB
Databáze: OpenAIRE