Massless Dirac perturbations in a consistent model of loop quantum gravity black hole: quasinormal modes and particle emission rates

Abstract We consider perturbations of the massless Dirac field in the background of a black hole solution found by Bodendorfer, Mele, and Münch (BMM), using a polymerization technique that furnishes contributions inspired by loop quantum gravity (LQG) Theory. Using the sixth order WKB method, we ana...

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Published inClassical and quantum gravity Vol. 40; no. 17; pp. 174001 - 174027
Main Authors Albuquerque, Saulo, Lobo, Iarley P, Bezerra, Valdir B
Format Journal Article
LanguageEnglish
Published IOP Publishing 14.09.2023
Subjects
black hole
Dirac equation
greybody factor
quantum gravity
quasinormal modes
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Summary:Abstract We consider perturbations of the massless Dirac field in the background of a black hole solution found by Bodendorfer, Mele, and Münch (BMM), using a polymerization technique that furnishes contributions inspired by loop quantum gravity (LQG) Theory. Using the sixth order WKB method, we analyzed its quasinormal modes for several modes, multipole numbers and the two classes of BMM black holes. We also considered the potential that governs these perturbations to analyze the bound on the greybody factor (GF) due the emission rates of particles. As results, we found that the LQG parameters are responsible for raising the potential and the real and imaginary parts of the quasinormal frequencies and decrease the bound on the GF for the two classes of black holes (with more prominent effects for the de-amplification case, which is compatible with previous analyses done for other fields).
Bibliography:CQG-110162.R2
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ace7a8