Dynamical symmetries in Brans-Dicke cosmology

Abstract

In the context of generalised Brans-Dicke cosmology we use the Killing tensors of the minisuperspace in order to determine the unspecified potential of a scalar-tensor gravity theory. Specifically, based on the existence of contact symmetries of the field equations, we find four types of potentials which provide exactly integrable dynamical systems. We investigate the dynamical properties of these potentials by using a critical point analysis and we find solutions which lead to cosmic acceleration and under specific conditions we can have de-Sitter points as stable late-time attractors.

15 pages; 2 figures; accepted for publication by Phys. Rev. D

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• Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
• Linearized modified gravity theories and gravitational waves physics in the GBD theory
• Geodesic deviation equation in Brans-Dicke theory in arbitrary dimensions
• Quadratic integrals of a multi-scalar cosmological model