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

Saleh, Mahamat; Bouetou, Bouetou Thomas; Kofané, Timoleon Crepin

doi:10.1007/s10509-016-2725-0

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

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Kofané, Timoleon Crepin
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Saleh, M., Bouetou, B. T., & Kofané, T. C. (2016). Quasinormal modes of a quantum-corrected Schwarzschild black hole: gravitational and Dirac perturbations. Astrophysics and Space Science, 361(4): 137. doi:10.1007/s10509-016-2725-0.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-DA87-2

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.