Effective potential approach to the motion of massive test particles in Kaluza-Klein gravity

Details Effective potential approach to the motion of massive test particles in Kaluza-Klein gravity Effective potential approach to the motion of massive test particles in Kaluza-Klein gravity

2009-11-21

arxiv.org/abs/0911.4168v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages. To appear in the proceedings of MG12, Marcel Grossman Meeting, Paris, France, 12-18 Jul 2009

Scientific paper

Effective potential for a class of static solutions of Kaluza-Klein equations with three-dimensional spherical symmetry is studied. Test particles motion is analyzed. In attempts to read the obtained results with the experimental data, particular attention is devoted to the Schwarzschild's limit of the four dimensional counterpart of these electromagnetic-free solutions. Massive particles stable circular orbits in particular are studied, and a comparison between the well known results if the Schwarzschild's case and those found for the static higher-dimensional case is performed. A modification of the circular stable orbits is investigated in agreement with the experimental constraints.

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