Barrow fractal entropy and the black hole quasinormal modes

Using the Boltzmann-Gibbs statistical mechanics together with the quasinormal modes of the black holes and the Bekenstein-Hawking area entropy law, we can determine univocally the lowest possible value for the spin j, which is jmin=1, in the framework of the Loop Quantum Gravity theory. Subsequently...

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Bibliographic Details
Published inPhysics letters. B Vol. 807; p. 135602
Main Authors Abreu, Everton M.C., Ananias Neto, Jorge
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.08.2020
Elsevier
Subjects
Barrow entropy
Immirzi parameter
Loop Quantum Gravity
Loop Quantum Gravity
Immirzi parameter
Barrow entropy
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Summary:Using the Boltzmann-Gibbs statistical mechanics together with the quasinormal modes of the black holes and the Bekenstein-Hawking area entropy law, we can determine univocally the lowest possible value for the spin j, which is jmin=1, in the framework of the Loop Quantum Gravity theory. Subsequently, the value of Immirzi parameter is given by γ=ln⁡3/(2π2). In this paper, we have demonstrated that if we use the Barrow formulation for the black hole entropy then the minimum value of the label j depends on the value, which characterizes the fractal structure of the black hole surface called Δ parameter, and may have values other than jmin=1.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2020.135602