Quasinormal modes of a quantum-corrected Schwarzschild black hole: gravitational and Dirac perturbations

TL;DR

This paper investigates how quantum fluctuations affect the quasinormal modes of a Schwarzschild black hole, revealing that quantum corrections slow down damping and oscillation frequencies of gravitational and Dirac perturbations.

Contribution

It introduces a study of quantum correction effects on black hole QNMs using WKB approximation for gravitational and Dirac fields.

Findings

Quantum fluctuations cause QNMs to damp more slowly.

Quantum corrections lead to slower oscillations.

Results highlight the impact of quantum effects on black hole stability.

Abstract

In this work, quasinormal modes (QNMs) of the Schwarzschild black hole are investigated by taking into account the quantum fluctuations. Gravitational and Dirac perturbations were considered for this case. The Regge-Wheeler gauge and the Dirac equation were used to derive the perturbation equations of the gravitational and Dirac fields respectively and the third order Wentzel-Kramers-Brillouin (WKB) approximation method is used for the computing of the quasinormal frequencies. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, the QNMs of the black hole damp more slowly when increasing the quantum correction factor (a), and oscillate more slowly.