Motion of test particles in a regular black hole space--time
Abstract
We consider the motion of test particles in the regular black hole space-time given by Ay\'on-Beato and Garc\'a in Phys. Rev. Lett. 80:5056 (1998). The complete set of orbits for neutral and weakly charged test particles is discussed, including for neutral particles the extreme and over-extreme metric. We also derive the analytical solutions for the equation of motion of neutral test particles in a parametric form and consider a post-Schwarzschild expansion of the periastron shift to second order in the charge.
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