Dynamical analysis on $f(R,\mathcal{G})$ cosmology
General Relativity and Quantum Cosmology
2018-03-12 v1 High Energy Physics - Theory
Abstract
We use a dynamical system approach to study the cosmological viability of gravity theories. The method consists of formulating the evolution equations as an autonomous system of ODEs, using suitable variables. The formalism is applied to a class of models in which and its solutions and corresponding stability are analysed in detail. New accelerating solutions that can be attractors in the phase space are found. We also find that this class of models does not exhibit a matter-dominated epoch, a solution which is inconsistent with current cosmological observations.
Cite
@article{arxiv.1802.02572,
title = {Dynamical analysis on $f(R,\mathcal{G})$ cosmology},
author = {Simony Santos da Costa and Fernando V. Roig and Jailson S. Alcaniz and Salvatore Capozziello and Mariafelicia de Laurentis and Micol Benetti},
journal= {arXiv preprint arXiv:1802.02572},
year = {2018}
}
Comments
12 pages, 4 figures. Accepted for publication in Classical and Quantum Gravity