Testing black holes in non-linear electrodynamics from the observed quasi-periodic oscillations

Abstract Quasi-periodic oscillations (QPOs), in particular, the ones with high frequencies, often observed power spectrum of black holes, are useful understanding nature strong gravity since they associated motion matter vicinity hole horizon. Interestingly, these frequency QPOs (HFQPOs) commensurable pairs, most common ratio being 3:2. Several theoretical models proposed literature which explain HFQPOs terms orbital and epicyclic frequencies rotating around central object. Since sensitive to background spacetime, can potentially extract information regarding same. In this work, we investigate role regular holes a Minkowski core, arise coupled non-linear electrodynamics, explaining HFQPOs. Regular particularly interesting as provide possible resolution singularity problem general relativity. We compare model dependent QPO available observations quasi-periodic from sources perform χ 2 analysis. Our study reveals that favor small but non-trivial values electrodynamics charge parameter. large parameter generically disfavored by present related QPOs.