Conformal Triality of the Kepler problem

Abstract

We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkwoski, dS and AdS spaces.

4 pages, no figures. Some modifications

References in corpus (2)

• Null lifts and projective dynamics
• The classical Kepler problem and geodesic motion on spaces of constant curvature

Cited by in corpus (4)

• Jacobi-Maupertius metric and Kepler equation
• On Geometry and Symmetry of Kepler Systems. I
• Lifting the Eisenhart-Duval Lift to a Minimal Brane
• Kepler problem and chiral effective dynamics