The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons
High Energy Physics - Theory
2009-10-22 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.hep-th/9304022,
title = {The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons},
author = {Mihai Visinescu},
journal= {arXiv preprint arXiv:hep-th/9304022},
year = {2009}
}
Comments
12 pages, PLAIN-TEX