Dynamical System Analysis of Modified Chaplygin Gas in Einstein-Aether Gravity
Abstract
In this work we investigate the background dynamics when dark energy is coupled to dark matter with a suitable interaction in the universe described by Einstein-Aether gravity. Dark energy in the form of Modified Chaplygin gas is considered. A suitable interaction between dark energy and dark matter is considered in order to at least alleviate (if not solve) the cosmic coincidence problem. The dynamical system of equations is solved numerically and a stable scaling solution is obtained. A significant attempt towards the solution of the cosmic coincidence problem is taken. The statefinder parameters are also calculated to classify the dark energy models. Graphs and phase diagrams are drawn to study the variations of these parameters. It is also seen that the background dynamics of modified Chaplygin gas in Einstein-Aether gravity is completely consistent with the notion of an accelerated expansion in the late universe. Finally, it has been shown that the universe follows the power law form of expansion around the critical point.
Cite
@article{arxiv.1408.4774,
title = {Dynamical System Analysis of Modified Chaplygin Gas in Einstein-Aether Gravity},
author = {Chayan Ranjit and Prabir Rudra and Sujata Kundu},
journal= {arXiv preprint arXiv:1408.4774},
year = {2014}
}
Comments
12 pages, 9 figures, Accept in The European Physical Journal Plus (2014). arXiv admin note: substantial text overlap with arXiv:1303.4732, arXiv:1109.1481, arXiv:1206.1767, arXiv:1204.3531; and substantial text overlap with arXiv:1310.2144 by other author