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Massive test particle motion in 5-dimensional electromagnetic-free Kaluza-Klein theory. (English) Zbl 1213.83041
Summary: A class of static, vacuum solutions of (free-electromagnetic) Kaluza-Klein equations with three-dimensional spherical symmetry is studied. In order to explore the dynamic in such spacetimes, geodesic equations are obtained and the effective potential for massive test particles is analyzed. Particular attention is devoted to the properties of the four-dimensional counterpart of these solutions in their Schwarzschild limit. A modification of the circular stable orbits compared with the Schwarzschild case is investigated.
MSC:
83C10 Equations of motion in general relativity and gravitational theory
83E15 Kaluza-Klein and other higher-dimensional theories
83C15 Exact solutions to problems in general relativity and gravitational theory
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