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arXiv · 1910.03123

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

Everton M. C. Abreu·Jorge Ananias Neto·Edesio M. Barboza Jr.·Braulio B. Soares
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Abstract

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 $γ= \ln 3/(2π\sqrt{2})$. 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 $j_{min}=1$.

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Everton M. C. Abreu, Jorge Ananias Neto, Edesio M. Barboza Jr., Braulio B. Soares. 2019-10-07. Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics. https://doi.org/10.1016/j.physletb.2019.135011

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