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arXiv · 2406.04787

Quasinormal modes and ringdown waveform of the Frolov black hole

Zhijun Song·Huajie Gong·Hai-Li Li·Guoyang Fu·Li-Gang Zhu·Jian-Pin Wu
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Abstract

In this paper we investigate scalar perturbation over a Frolov black hole (BH), which is a regular BH induced by the quantum gravity effect. The quasinormal frequencies of a scalar field always consistently reside in the lower half-plane, and the time-domain evolution of the field demonstrates a decaying behavior, with the late-time tail exhibiting a power-law pattern. These observations collectively suggest the stability of a Frolov BH against scalar perturbation. Additionally, our study reveals that the quantum gravity effect leads to slower decay modes. For the case of the angular quantum number $l=0$, the oscillation exhibits non-monotonic behavior with the quantum gravity parameter $\alpha_0$. However, once $l\geq 1$, the angular quantum number surpasses the influence of the quantum gravity effect.

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Zhijun Song, Huajie Gong, Hai-Li Li, Guoyang Fu, Li-Gang Zhu, Jian-Pin Wu. 2024-06-07. Quasinormal modes and ringdown waveform of the Frolov black hole. https://doi.org/10.1088/1572-9494%2Fad5717

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