Gravitational axial perturbations and quasinormal modes of loop quantum black holes

Abstract 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...

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Main Authors: M. B. Cruz, C. A. S. Silva, F. A. Brito
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6565-2
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author M. B. Cruz
C. A. S. Silva
F. A. Brito
author_facet M. B. Cruz
C. A. S. Silva
F. A. Brito
author_sort M. B. Cruz
collection DOAJ
description Abstract 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.
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spelling doaj.art-10c79b10959045069bd1c5c7832bb35d2022-12-21T22:38:12ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-02-0179211010.1140/epjc/s10052-019-6565-2Gravitational axial perturbations and quasinormal modes of loop quantum black holesM. B. Cruz0C. A. S. Silva1F. A. Brito2Departamento de Física, Universidade Federal da ParaíbaInstituto Federal de Educação Ciência e Tecnologia da Paraíba (IFPB)Departamento de Física, Universidade Federal da ParaíbaAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-019-6565-2
spellingShingle M. B. Cruz
C. A. S. Silva
F. A. Brito
Gravitational axial perturbations and quasinormal modes of loop quantum black holes
European Physical Journal C: Particles and Fields
title Gravitational axial perturbations and quasinormal modes of loop quantum black holes
title_full Gravitational axial perturbations and quasinormal modes of loop quantum black holes
title_fullStr Gravitational axial perturbations and quasinormal modes of loop quantum black holes
title_full_unstemmed Gravitational axial perturbations and quasinormal modes of loop quantum black holes
title_short Gravitational axial perturbations and quasinormal modes of loop quantum black holes
title_sort gravitational axial perturbations and quasinormal modes of loop quantum black holes
url http://link.springer.com/article/10.1140/epjc/s10052-019-6565-2
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