Quasinormal modes of black holes in f(Q) gravity

Dhruba Jyoti Gogoi; Ali Övgün; M. Koussour

doi:10.1140/epjc/s10052-023-11881-5

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 700
https://doi.org/10.1140/epjc/s10052-023-11881-5

Regular Article - Theoretical Physics

Quasinormal modes of black holes in f(Q) gravity

Dhruba Jyoti Gogoi¹^a, Ali Övgün² and M. Koussour³

¹ Department of Physics, Dibrugarh University, 786004, Dibrugarh, Assam, India
² Physics Department, Eastern Mediterranean University, Famagusta, 99628, North Cyprus via Mersin 10, Turkey
³ Quantum Physics and Magnetism Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco

^a moloydhruba@yahoo.in

Received: 5 June 2023
Accepted: 28 July 2023
Published online: 7 August 2023

Abstract

In this work, we have studied the quasinormal modes of a black hole in a model of the type $f (Q) = \sum_{n} a_{n} {(Q - Q_{0})}^{n}$ $f(Q)=\underset{n}{\sum }a_{n}\left( Q-Q_{0}\right) ^{n}$ in f(Q) gravity by using a recently introduced method known as Bernstein spectral method and confirmed the validity of the method with the help of well known Padé averaged higher order WKB approximation method. Here we have considered scalar perturbation and electromagnetic perturbation in the black hole spacetime and obtained the corresponding quasinormal modes. We see that for a non-vanishing nonmetricity scalar $Q_{0}$ $$Q_0$$ , quasinormal frequencies in scalar perturbation are greater than those in electromagnetic perturbation scenarios. On the other hand, the damping rate of gravitational waves is higher for electromagnetic perturbation. To confirm the quasinormal mode behaviour, we have also investigated the time domain profiles for both types of perturbations.

© The Author(s) 2023

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