The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons

Details The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons

1993-04-07

arxiv.org/abs/hep-th/9304022v1

Z.Phys. C60 (1993) 337-342

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, PLAIN-TEX

Scientific paper

10.1007/BF01474631

A class of generalized Taub-NUT gravitational instantons is reported in five - dimensional Einstein gravity coupled to a non-linear sigma model. The geodesic dynamics of a spinless particle of unit mass on these static gravitational instantons is studied. This is accomplished by finding a generalized Runge-Lenz vector. Unlike the Kepler problem, or, the dynamics of a spinless particle on the familiar Taub-NUT gravitational instantons, the orbits are not conic sections.

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