Non-Minimally Coupled Cosmology as Geodesic Motion
arXiv:gr-qc/0702037
Abstract
Recent works showing that homogeneous and isotropic cosmologies involving scalar fields correspond to geodesics of certain augmented spaces are generalized to the non-minimal coupling case. As the Maupertuis-Jacobi principle in classical mechanics, this result allows us, in principle, to infer some of the dynamical properties of the cosmologies from the geometry of the associated augmented spaces.
Presented in the Fifth International Conference on Mathematical Methods in Physics, IC2006, April 24-28 2006, CBPF, Rio de Janeiro, Brazil