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arxiv: hep-th/9304022 · v1 · submitted 1993-04-07 · ✦ hep-th · gr-qc

The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons

classification ✦ hep-th gr-qc
keywords gravitationalinstantonsgeneralizedtaub-nutdynamicsgeodesicparticlespinless
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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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