Hamiltonian study of the Generalized scalar-tensor theory with potential in a Bianchi type I model

Abstract

We study the generalized scalar tensor theory with a potential in the Bianchi type I model by using the ADM formalism. We examine the conditions for the Universe to be in expansion, isotropic and with a positive potential at late time in the Brans-Dicke and Einstein frames. In particular, we analyse the two important cases where metric functions tend, in an asymptotic way, toward power or exponential laws in the Einstein frame.

15 pages

References in corpus (1)

• Cosmology and the Fate of Dilatation Symmetry

Cited by in corpus (2)

• Isotropisation of Generalized Scalar-Tensor theory plus a massive scalar field in the Bianchi type I model
• Isotropisation of Bianchi class A models with a minimally coupled scalar field and a perfect fluid