Quasinormal modes of nonlinearly charged black holes surrounded by a cloud of strings in Rastall gravity

In this paper, we obtain the black hole solution for Ayón-Beato–García (ABG)-type surrounded by a cloud of strings in Rastall gravity and calculate scalar quasinormal modes it massless field. To have better visualization results, also introduce new nonlinear electrodynamic source gravity. We see that are affected type sources case higher magnitudes charge [Formula: text]. With increase magnitude text], gravitational waves decay rapidly solution, while ABG hole, rate increases initially finally starts to decrease near study impact other model parameters, including parameter on both holes. The slowly with Dependency is different from surrounding dark energy field may be slow or rapid depending value parameter.