Particle dynamics and fundamental frequencies around the charged dilatonic massive gravity black hole

This paper uses spherically symmetric objects with electric and magnetic charges to study the black hole solutions within the context of Einstein–dilaton gravity theory. Initially in this paper, the dynamics of both massive and massless particles, along with the effective potential, are systematically analyzed in response to the parameter of Einstein–dilaton gravity. The focus of this paper is on the investigation of the structure of the horizon, photon orbits and innermost stable circular orbit radius of massive particles around the black holes in Einstein–dilaton gravity. It is observed that the electric and magnetic fields associated with a spherically symmetric black hole remain nonzero. Finally, we examine how the oscillation frequencies and particle motion near stable orbits are affected by a black hole’s mass and the strength of the force involved. This study points to new possibilities for future research in the foundational aspects of gravitational theories.