1306.2549 (Alberto Garc\'\ia et al.)

Motion of test particles in a regular black hole space--time    [PDF]

Alberto Garc\'\ia, Eva Hackmann, Jutta Kunz, Claus Lämmerzahl, Alfredo Macias

We consider the motion of test particles in the regular black hole space-time given by Ay\'{o}n-Beato and Garc\'{\i}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.

View original: http://arxiv.org/abs/1306.2549