Year: 2001
Type: article
Abstract: The Eguchi-Hanson metric is well known as a self-dual and Einstein four-dimensional metric.In this short article, dynamical systems in the Eguchi-Hanson space are considered.The central potential systems in the Eguchi-Hanson space can be reduced with V(1) symmetry.The reduced dynamical system is of three-degreeS-ot'-freedom.Then, Bertrand's method is applied to determine the central potential in order that all boundcd orbits for tho reduced systom aro closed.Finally, Kcplcr'typc and harmonicoscillator-type syst,ems are found.
Authors: 登揚 片山, Noriaki Katayama
Language: Japanese
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W642756409