De Sitter and Power-law Solutions in Non-local Gauss-Bonnet Gravity
Abstract
The cosmological dynamics of a non-locally corrected gravity theory, involving a power of the inverse d'Alembertian, is investigated. Casting the dynamical equations into local form, the fixed points of the models are derived, as well as corresponding de Sitter and power-law solutions. Necessary and sufficient conditions on the model parameters for the existence of de Sitter solutions are obtained. The possible existence of power-law solutions is investigated, and it is proven that models with de Sitter solutions have no power-law solutions. A model is found, which allows to describe the matter-dominated phase of the Universe evolution.
Keywords
Cite
@article{arxiv.1805.10810,
title = {De Sitter and Power-law Solutions in Non-local Gauss-Bonnet Gravity},
author = {E. Elizalde and S. D. Odintsov and E. O. Pozdeeva and S. Yu. Vernov},
journal= {arXiv preprint arXiv:1805.10810},
year = {2018}
}
Comments
15 pages, v2: accepted for publication in International Journal of Geometric Methods in Modern Physics, references added