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