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Gravito-Electromagnetic coupled perturbations and quasinormal modes of the reduced Bah-Heidmann black hole

Wen-Di GuoQin TanYu-Xiao Liu
Dec 2022
摘要
From the quantum point of view, singularity should not exist. Recently, Bahand Heidmann constructed a five-dimensional singularity free topologystar/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. By integrating the extradimension, a four-dimensional static spherical black hole with a magneticcharge can be obtained. In this paper, we study the quasinormal modes (QNMs) ofthe magnetic field and gravitational field on the background of this reducedfour-dimensional Bah-Heidmann black hole. The odd parity of the gravitationalperturbations couples with the even parity of the magnetic field perturbations.Two coupled second-order derivative equations are obtained. Using thematrix-valued direct integration method, we obtain the fundamental QNMfrequencies numerically. The effect of the magnetic charge on the QNMs isstudied. The differences of the frequencies of the fundamental QNMs between thereduced Bah-Heidmann black hole and the Reissner-Norstr\"{o}m black hole arevery small for the angular number $l=2$. However, some new interesting resultsare found for higher angular number.
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