Circular motion in Reissner-Nordström spacetime

Details Circular motion in Reissner-Nordström spacetime Circular motion in Reissner-Nordström spacetime

2010-03-13

arxiv.org/abs/1003.2687v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 5 figures, to appear in the proceedings of MG12, Marcel Grossman Meeting, Paris, France, 12-18 Jul 2009

Scientific paper

We study the motion of neutral test particles along circular orbits in the Reissner-Nordstr\"om spacetime. We use the method of the effective potential with the constants of motion associated to the underlying Killing symmetries. A comparison between the black hole and naked singularity cases is performed. In particular we find that in the naked singularity case for $rQ^2/M$ and $1\sqrt{5}/2$ there are all stable circular orbits for $r>Q^2/M$.

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