Gravitational Axial Perturbations and Quasinormal Modes of Loop Quantum Black Holes
Eur. Phys. J. C (2019) 79:157 https://doi.org/10.1140/epjc/s10052-019-6565-2 Regular Article - Theoretical Physics Gravitational axial perturbations and quasinormal modes of loop quantum black holes M. B. Cruz1,a,C.A.S.Silva2,b,F.A.Brito1,3,c 1 Departamento de Física, Universidade Federal da Paraíba, João Pessoa, Paraíba 58051-970, Brazil 2 Instituto Federal de Educação Ciência e Tecnologia da Paraíba (IFPB), Campus Campina Grande-Rua Tranquilino Coelho Lemos 671, Jardim Dinamérica I, João Pessoa, Brazil 3 Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, Campina Grande 58429-900, Paraíba, Brazil Received: 3 November 2018 / Accepted: 3 January 2019 / Published online: 21 February 2019 © The Author(s) 2019 Abstract Loop quantum gravity (LQG) is a theory that pro- ular, in the context of this theory, a black hole metric known as poses a way to model the behavior of the spacetime in sit- loop quantum black hole (LQBH), or self-dual black hole, has uations where its atomic characteristic arises. Among these been proposed [10,11]. This solution corresponds to a quan- situations, the spacetime behavior near the Big Bang or black tum corrected Schwarzschild solution and possess the inter- hole’s singularity. The detection of gravitational waves, on esting property of self-duality. From this property, the black the other hand, has opened the way to new perspectives in the hole singularity is removed and replaced by another asymp- investigation of the spacetime structure. In this work, by the totically flat region, which is an expected effect in a quantum use of a WKB method introduced by Schutz and Will (Astro- gravity regime.
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