Homogeneous cosmologies and the Maupertuis-Jacobi principle

Luciana A. Elias and Alberto Saa
Phys. Rev. D 75, 107301 – Published 11 May 2007

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 nonminimally coupled and anisotropic cases. As the Maupertuis-Jacobi principle in classical mechanics, such a 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.

  • Received 9 February 2007

DOI:https://doi.org/10.1103/PhysRevD.75.107301

©2007 American Physical Society

Authors & Affiliations

Luciana A. Elias and Alberto Saa*

  • Departamento de Matemática Aplicada, IMECC – UNICAMP, C.P. 6065, 13083-859 Campinas, SP, Brazil.

  • *Electronic address: asaa@ime.unicamp.br

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Issue

Vol. 75, Iss. 10 — 15 May 2007

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