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 t...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 α_(0). However, once l ≥ 1, the angular quantum number surpasses the influence of the quantum gravity effect.展开更多
基金supported by National Key R&D Program of China (no. 2020YFC2201400)the Natural Science Foundation of China under grant nos 12375055, 12347159 and 12305068+2 种基金the Postgraduate Research & Practice Innovation Program of Jiangsu Province under grant no. KYCX22_3451the Scientific Research Funding Project of the Education Department of Liaoning Province under grant no. JYTQN2023090the Natural Science Foundation of Liaoning Province of China under grant no. 2023-BSBA-229。
文摘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 α_(0). However, once l ≥ 1, the angular quantum number surpasses the influence of the quantum gravity effect.
