Decay of massive scalar field in a black hole background immersed in magnetic field
Chen WuShanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, ChinaRenli XuKey Laboratory of Modern Acoustics, Department of Physics, Nanjing University, Nanjing, 210093, China
2015en
ABI
Abstract
We evaluate quasinormal modes of a massive scalar field of the Ernst spacetime, an exact solution of the Einstein–Maxwell equations, describing a black hole immersed in a uniform magnetic field B. It is well known that the quasinormal spectrum for a massive scalar field in the vicinity of the magnetized black holes acquires an effective mass $$\mu _\mathrm{eff}= \sqrt{4B^2 m^2+\mu ^2}$$ , where m is the azimuthal number and $$\mu $$ is the mass of scalar field. The numerical result shows that increasing of the field effective mass and the magnetic field B gives rise to decreasing of the imaginary part of the quasinormal modes until reaching a vanishing damping rate.
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