The geodesics of the Kaluza-Klein wormhole soliton |
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Authors: | Mustapha Azreg-Ainou Gérard Clément |
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Institution: | (1) Département de Physique Théorique, Université de Constantine, Algeria;(2) Laboratoire de Physique Théorique et Systemes Dynamiques, Université de Nice, France |
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Abstract: | The Kaluza-Klein wormhole soliton metric is a regular localized solution with Minkowskian signature, to the sourceless five-dimensional Einstein equations. We apply five-to-three dimensional reduction to convert the problem of geodesic motion of neutral or charged test particles in this metric to a non-relativistic potential problem, which we discuss in detail, studying bound and scattering states. We show that there is no observable difference between scattering of a spinless test particle by a point charge and by a wormhole soliton. |
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