We study the motion of uncharged particles and photons in the background of a
magnetically charged Euler–Heisenberg (EH) black hole (BH) with scalar hair. The
spacetime can be asymptotically (A) dS or flat. After investigating particle motions around the
BH and the behavior of the effective potential of the particle radial motion, we determine the
contribution of the BH parameters to the geodesics. Photons follow null geodesics of an
effective geometry induced by the corrections of the EH non-linear electrodynamics. Thus …

We study the geodesic motion of uncharged particles in the background of a magnetically
charged Euler-Heisenberg black hole with a scalar hair. The spacetime can be
asymptotically (A) dS or flat and we find, analysing the behavior of the effective potential of
the radial motion that in all cases there exist stable and unstable orbits. Performing
numerical integrations we depict the motion of particles for planetary and critical orbits, as
well as for radial geodesics. We discuss the effect that the scalar hair $\nu $, the magnetic …