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October 5, 20254 citationsOpen Access

Quasinormal ringing and Unruh-Verlinde temperature of the Frolov Black Hole

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APAkshat Pathrikar

Key Points

  • The analysis reveals how quasinormal ringing differs when quantum gravity effects are included.
  • We observe that the dominant modes and their overtone frequencies are influenced by the unique structure of the Frolov black hole.
  • Employing the WKB method, we derive master equations for Dirac and electromagnetic perturbations.
  • Our findings suggest quantum gravity significantly alters particle emission and thermal properties in nonsingular black holes.

Abstract

In this study, we investigate electromagnetic and Dirac field axial-perturbations of a charged regular black hole arising from quantum gravity effects, commonly referred to as the Frolov black hole, a regular (nonsingular) black hole solution. We derive the master wave equations for massless electromagnetic and Dirac perturbations and solve them using the standard Wentzel-Kramers-Brillouin (WKB) method along with Padé approximation. From these solutions, we extract the dominant and overtone quasinormal mode (QNM) frequencies along with the associated grey-body factors, highlighting the deviations introduced by quantum gravity corrections compared to the classical case of Reissner-Nordström black hole. Furthermore, we analyze the Unruh-Verlinde temperature of this spacetime, providing quantitative estimates of how quantum gravity effects influence both quasinormal ringing and particle emission in nonsingular black hole models.

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Akshat Pathrikar (2025) studied this question.

synapsesocial.com/papers/68e25382d6d66a53c2474a6fhttps://doi.org/10.48550/arxiv.2510.01376
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