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Advances in High Energy Physics
Volume 2017 (2017), Article ID 5234214, 19 pages
Research Article

Gravitational Quasinormal Modes of Regular Phantom Black Hole

1College of Physics, Chongqing University, Chongqing 401331, China
2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
3Instituto de Física e Química, Universidade Federal de Itajubá, 37500-903 Itajubá, MG, Brazil
4Department of Astronomy, China West Normal University, Nanchong, Sichuan 637002, China
5Escola de Engenharia de Lorena, Universidade de São Paulo, São Paulo, SP, Brazil
6Faculdade de Engenharia de Guaratinguetá, Universidade Estadual Paulista, Guaratinguetá, SP, Brazil

Correspondence should be addressed to Jin Li; moc.liamtoh@vratsqc

Received 24 August 2016; Accepted 9 October 2016; Published 16 February 2017

Academic Editor: Christian Corda

Copyright © 2017 Jin Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We investigate the gravitational quasinormal modes (QNMs) for a type of regular black hole (BH) known as phantom BH, which is a static self-gravitating solution of a minimally coupled phantom scalar field with a potential. The studies are carried out for three different spacetimes: asymptotically flat, de Sitter (dS), and anti-de Sitter (AdS). In order to consider the standard odd parity and even parity of gravitational perturbations, the corresponding master equations are derived. The QNMs are discussed by evaluating the temporal evolution of the perturbation field which, in turn, provides direct information on the stability of BH spacetime. It is found that in asymptotically flat, dS, and AdS spacetimes the gravitational perturbations have similar characteristics for both odd and even parities. The decay rate of perturbation is strongly dependent on the scale parameter , which measures the coupling strength between phantom scalar field and the gravity. Furthermore, through the analysis of Hawking radiation, it is shown that the thermodynamics of such regular phantom BH is also influenced by . The obtained results might shed some light on the quantum interpretation of QNM perturbation.