2010/03/13 by Daniela Pugliese, Hernando Quevedo, Pugliese, Daniela +3
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Stellar Astrophysics (astro-ph.SR) #astro-ph.SR #gr-qc
paper · pdf · doi:10.48550/arxiv.1003.2687
5 pages, 5 figures, to appear in the proceedings of MG12, Marcel Grossman Meeting, Paris, France, 12-18 Jul 2009
arxiv created 2010/03/13 · arxiv updated 2010/03/16
We study the motion of neutral test particles along circular orbits in the Reissner-Nordström 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 r<Q2/M no circular orbits can exist, this radius plays a fundamental role in the physics of the naked singularity. For r>Q2/M and 1<Q/M<√(9/8) there are two stability regions together with a region where all the circular orbits are instable and a zone in which all trajectory are possible but not circular orbits, for √(9/8)<Q/M<√(5)/2 one stability region and a region where all circular orbits are instable appear, finally for Q/M>√(5)/2 there are all stable circular orbits for r>Q2/M.