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Chinese Physics C > 2022, Vol. 46 > Issue(10): 105103 DOI: 10.1088/1674-1137/ac7855

Quasinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity

  • 1.

    MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF, and School of Physics, Huazhong University of Science and Technology, 430074 Wuhan, China

  • 2.

    Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, 430074 Wuhan, China

  • 3.

    Escola de Engenharia de Lorena, Universidade de São Paulo, 12602-810, Lorena, SP, Brazil

  • 4.

    Faculdade de Engenharia de Guaratinguetá, Universidade Estadual Paulista, 12516-410, Guaratinguetá, SP, Brazil and

  • 5.

    Center for Gravitation and Cosmology, School of Physical Science and Technology, Yangzhou University, 225002 Yangzhou, China

  • In this study, we investigate the quasinormal mode and late-time tail of charged massless scalar perturbations of a black hole in generalized Rastall gravity. The black hole metric in question is spherically symmetric, accompanied by a power-Maxwell field surrounded by a quintessence fluid. We show that the massless scalar field, when dressed upwith the magnetic field, acquires an effective mass, which significantly affects the properties of the resultant quasinormal oscillations and late-time tails. Specifically, the quasinormal frequencies become distorted and might even be unstable for particular spacetime configurations. Additionally, the exponent of the usual power-law tail is modified according to the modification in the structure of the branch cut of the retarded Green's function. In particular, as the effective mass is generated dynamically owing to the presence of the magnetic field, we may consider a process through which the field is gradually removed from the spacetime configuration. In this context, while the quasinormal oscillations converge to the case of massless perturbations, we argue that the properties of resultant late-time tails do not fall back to their massless counterpart. The relevant characteristics are investigated using numerical and analytic approaches.
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Cai-Ying Shao, Yu-Jie Tan, Cheng-Gang Shao, Kai Lin and Wei-Liang Qian. Qusinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac7855
Cai-Ying Shao, Yu-Jie Tan, Cheng-Gang Shao, Kai Lin and Wei-Liang Qian. Qusinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity[J]. Chinese Physics C. doi:10.1088/1674-1137/ac7855 shu
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