Made available in DSpace on 2018-11-26T15:43:37Z (GMT). No. of bitstreams: 0 Previous issue date: 2017-01-01 Natural Science Foundation of China Fundamental Research Funds for the Central Universities Chongqing Postdoctoral Science Foundation Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Chinese State Scholarship 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 b. The obtained results might shed some light on the quantum interpretation of QNM perturbation. Chongqing Univ, Coll Phys, Chongqing 401331, Peoples R China Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China Univ Fed Itajuba, Inst Fis & Quim, BR-37500903 Itajuba, MG, Brazil China West Normal Univ, Dept Astron, Nanchong 637002, Sichuan, Peoples R China Univ Sao Paulo, Escola Engn Lorena, Sao Paulo, SP, Brazil Univ Estadual Paulista, Fac Engn Guaratingueta, Guaratingueta, SP, Brazil Univ Estadual Paulista, Fac Engn Guaratingueta, Guaratingueta, SP, Brazil Natural Science Foundation of China: 11205254 Natural Science Foundation of China: 11178018 Natural Science Foundation of China: 11573022 Natural Science Foundation of China: 11605015 Natural Science Foundation of China: 11375279 Fundamental Research Funds for the Central Universities: 106112016CDJXY300002 Fundamental Research Funds for the Central Universities: 106112015CDJRC131216 Chongqing Postdoctoral Science Foundation: Xm2015027 Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China: Y5KF181CJ1