Abstract
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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Visinescu, M. The geodesic motion on generalized Taub-NUT gravitational instantons. Z. Phys. C - Particles and Fields 60, 337–341 (1993). https://doi.org/10.1007/BF01474631
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DOI: https://doi.org/10.1007/BF01474631