Quasinormal modes of a d-dimensional regular black hole featuring an integrable singularity

Dan Zhang; Guoyang Fu; Jian-Pin Wu; Zhongzhinan Dong

Quasinormal modes of a d-dimensional regular black hole featuring an integrable singularity

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arxiv 2412.20457 v2 pith:FMG6CPHQ submitted 2024-12-29 gr-qc

Zhongzhinan Dong , Dan Zhang , Guoyang Fu , Jian-Pin Wu This is my paper · ORCID

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keywords modesquasinormalregularrespectbehaviorblackcased-dimensional

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In this paper, we exhaustively investigate the quasinormal modes (QNMs) of a probe scalar field over a d-dimensional regular black hole (BH) characterized by the parameter A. The quasinormal frequencies (QNFs) exhibit different behaviors with respect to the parameter A for d = 4 and d > 4. Firstly, the trends of QNFs with respect to A exhibit completely opposite patterns for the case of d = 4 and d > 4. Secondly, in the 4-dimensional regular BH, a non-monotonic behavior with respect to A is observed in the imaginary part of the fundamental modes with vanishing angular quantum number. In contrast, this non-monotonic behavior only appears in the overtones when d > 4. Thirdly, an overtone outburst accompanied by an oscillatory patter is observed only in the case of d > 4, but not in d = 4.

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