Electromagnetic quasinormal modes of dyonic AdS black holes with quasitopological electromagnetism in a Horndeski gravity theory mimicking EGB gravity at D → 4

Abstract

We investigate some properties of a black hole in a Horndeski gravity theory mimicking EGB gravity at [Formula: see text]. Borrowing ideas from quasitopological gravities provide a matter source of dyonic fields, in which the black hole solution carries two charges, electric and magnetic, in the context of the Einstein–Gauss–Bonnet (EGB) gravity. However, due to several limitations of the EGB gravity in [Formula: see text], we consider a Horndeski gravity theory which can mimic EGB gravity in [Formula: see text]. The essential practice used in this paper is the electromagnetic quasinormal modes process, with the goal of discovering the spectrum of such an electromagnetic perturbation over the black hole spacetime. The Wentzel–Kramer–Brillouin (WKB) approximation is used to achieve the desired results. The study shows that both the charges have similar impacts on the quasinormal modes.

Quasinormal modes and optical properties of 4-D black holes in Einstein Power-Yang–Mills gravity

“…A notable trend within the table is the observed reduction in error associated with QNMs as the multipole moment l increases. This behaviour aligns with the characteristic limitations of the WKB approximation method, particularly evident when the overtone number n surpasses the multipole moment l. The diminishing error with increasing multipole moment is a distinctive feature of the WKB method, signifying its challenges in providing accurate results when overtone numbers exceed the corresponding multipole moment values [21,23,24,[59][60][61][62]. By keeping this fact in mind, in this investigation, we have considered n < l to calculate QNMs.…”

“…QNMs of black holes within the framework of generalized uncertainty principle (GUP) are analyzed [20][21][22][23]. Due to variety of black hole solutions in modified theories of gravity, there are many works considering QNMs of black holes in various models e.g., f (Q) gravity [24], f (R, T ) gravity [25], Horndeski gravity [26,27], Rastall gravity [28][29][30] and de Rham-Gabadadze-Tolley (dRGT) massive gravity [31][32][33][34][35]. Very recently, QNMs of black hole in emergent gravity framework are computed via the WKB and asymptotic iteration methods [36].…”

Technical Efficiency of Organic Tea Growers of Assam, India: A study in Dibrugarh District

“…The error associated with the quasinormal modes decreases as the multipole moment l increases, a typical behavior of the WKB approximation method. However, this method may not provide accurate results when the overtone number n exceeds the multipole moment l [52,[61][62][63][64][65][66].…”

Phase structures and critical behavior of rational non-linear electrodynamics Anti de Sitter black holes in Rastall gravity

“…The purpose of examining such an extension of GR is considered a step toward reinforcing the general theory of relativity and establishing solid approaches to it. Nowadays, most works are taken in the essence of modifying gravity through the study of phase transitions [42][43][44][45][46][47][48][49], quasi-normal modes [50][51][52][53][54][55][56], and shadow behavior for black hole spacetime [57][58][59][60][61][62].…”