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

TL;DR

This paper studies the quasinormal modes of a d-dimensional regular black hole with an integrable singularity, revealing different behaviors in frequencies depending on the dimension and parameter A, with unique phenomena in 4D versus higher dimensions.

Contribution

It provides a comprehensive analysis of how quasinormal modes vary with the parameter A across different dimensions for a regular black hole, highlighting novel dimension-dependent behaviors.

Findings

Opposite QNF trends for d=4 and d>4 as A varies

Non-monotonic imaginary part behavior in 4D fundamental modes

Overtone outburst and oscillations observed only in d>4

Abstract

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.