Motion of test particles in a regular black hole space--time
arXiv:1306.2549 · doi:10.1063/1.4913882
Abstract
We consider the motion of test particles in the regular black hole space-time given by Ayón-Beato and Garc\'ıa 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.
23 pages, 10 Figures; revised to match published version
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