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Non-Minimally Coupled Cosmology as Geodesic Motion

Luciana A. Elias·Alberto Saa
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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.

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Luciana A. Elias, Alberto Saa. 2007-02-07. Non-Minimally Coupled Cosmology as Geodesic Motion. https://arxiv.org/abs/gr-qc/0702037

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