Influence of dark matter on epicyclic frequencies and orbital stability in the vicinity of Euler–Heisenberg black holes: Observational prospects in strong gravity

We investigate the orbital and oscillatory dynamics of test particles in the gravitational field of an Euler–Heisenberg black hole surrounded by perfect-fluid dark matter. We derive analytical expressions for the radial dependence of the specific energy and specific angular momentum associated with stable equatorial circular orbits. Using the effective potential approach, we analyze the stability conditions of these orbits and explore the properties of the innermost stable circular orbits. We numerically integrate the equations of motion for test particles, construct trajectories around a non-rotating Euler–Heisenberg black hole embedded in perfect-fluid dark matter, and examine a variety of dynamical configurations. In addition, we study the effective force acting on the particles. We compute the radial and vertical epicyclic frequencies as functions of the model parameters and characterize the main features of the quasi-periodic oscillations of test particles on stable circular orbits in the equatorial plane of the black hole.

Hali tarjima qilinmagan