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
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
* e-mail: carlos.silva@ifpb.edu.br
Received:
3
November
2018
Accepted:
3
January
2019
Published online:
21
February
2019
Loop quantum gravity (LQG) is a theory that proposes a way to model the behavior of the spacetime in situations where its atomic characteristic arises. Among these situations, the spacetime behavior near the Big Bang or black hole’s singularity. The detection of gravitational waves, on the other hand, has opened the way to new perspectives in the investigation of the spacetime structure. In this work, by the use of a WKB method introduced by Schutz and Will (Astrophys J 291:L33, 1985), and after improved by Iyer and Will (Phys Rev D 35:3621, 1987), we study the gravitational wave spectrum emitted by loop quantum black holes, which correspond to a quantized version of the Schwarzschild spacetime by LQG techniques. From the results obtained, loop quantum black holes have been shown stable under axial gravitational perturbations.
© The Author(s), 2019