Elliptic solutions of generalized Brans-Dicke gravity with a non-universal coupling
Abstract
We study a model of the generalized Brans-Dicke gravity presented in both the Jordan and in the Einstein frames, which are conformally related. We show that the scalar field equations in the Einstein frame are reduced to the geodesics equations on the target space of the nonlinear sigma-model. The analytical solutions in elliptical functions are obtained when the conformal couplings are given by reciprocal exponential functions. The behavior of the scale factor in the Jordan frame is studied using numerical computations. For certain parameters the solutions can describe an accelerated expansion. We also derive an analytical approximation in exponential functions.
Keywords
Cite
@article{arxiv.1311.6384,
title = {Elliptic solutions of generalized Brans-Dicke gravity with a non-universal coupling},
author = {J. -M. Alimi and A. A. Golubtsova and V. Reverdy},
journal= {arXiv preprint arXiv:1311.6384},
year = {2015}
}
Comments
24 pages, 3 figures; v2: typos fixed, few remarks and references added; version to appear in EPJC