Homogeneous cosmologies and the Maupertuis-Jacobi principle

Abstract

A recent work showing that homogeneous and isotropic cosmologies involving scalar fields are equivalent to the geodesics of certain effective manifolds is generalized to the non-minimally coupled and anisotropic cases. As the Maupertuis-Jacobi principle in classical mechanics, such result permits us to infer some dynamical properties of cosmological models from the geometry of the associated effective manifolds, allowing us to go a step further in the study of cosmological dynamics. By means of some explicit examples, we show how the geometrical analysis can simplify considerably the dynamical analysis of cosmological models.

arXiv comment5 pages

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Cited by in corpus (5)

• Covariantizing the interaction between dark energy and dark matter
• Anisotropic singularities in modified gravity models
• Accretion of nonminimally coupled scalar fields into black holes
• Geometry and stability of dynamical systems
• Are there really `black holes' in the Atlantic Ocean?