Homogeneous cosmologies and the Maupertuis-Jacobi principle

Details Homogeneous cosmologies and the Maupertuis-Jacobi principle Homogeneous cosmologies and the Maupertuis-Jacobi principle

2007-02-09

arxiv.org/abs/gr-qc/0702058v1

Phys.Rev.D75:107301,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1103/PhysRevD.75.107301

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.

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