Magnetically charged regular black holes in $f(R,T)$ gravity coupled to nonlinear electrodynamics

Abstract: We construct asymptotically flat, static spherically symmetric black holes with regular centre in $f(R,T)$ gravity coupled to nonlinear electrodynamics Lagrangian. We obtain generalized metric function of the Bardeen and Hayward black holes. The null, weak and strong energy conditions of these solutions are discussed. All the energy conditions hold outside the black hole's outer event horizon by appropriated choices of parameters. Quasinormal mode of massive scalar perturbation is also investigated. Quasinormal frequencies are computed via the sixth order Wentzel-Kramers-Brillouin (WKB) with Pad\'e approximation. All the imaginary parts of the frequencies are found to be negative. Finally, we provide an analysis in the eikonal limit.