Quasinormal modes and ringdown waveform of the Frolov black hole

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 $l\ge 1$, the angular quantum number surpasses the influence of the quantum gravity effect.

15 pages, 7 figures; accepted for publication in Communications in Theoretical Physics

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Cited by in corpus (3)

• Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows
• Quasinormal modes of a charged loop quantum black hole
• Absorption and scattering of massless scalar waves by Frolov black holes