Dynamical symmetries in Brans-Dicke cosmology
General Relativity and Quantum Cosmology
2017-01-24 v2 Cosmology and Nongalactic Astrophysics
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.
Cite
@article{arxiv.1611.00667,
title = {Dynamical symmetries in Brans-Dicke cosmology},
author = {G. Papagiannopoulos and John D. Barrow and S. Basilakos and A. Giacomini and A. Paliathanasis},
journal= {arXiv preprint arXiv:1611.00667},
year = {2017}
}
Comments
15 pages; 2 figures; accepted for publication by Phys. Rev. D