Dynamics of Modified Chaplygin Gas in Brane World Scenario: Phase Plane Analysis
arXiv:1109.1481 · doi:10.1007/s10509-011-0967-4
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 brane cosmology. Here DGP and the RSII brane models have been considered separately. 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 is completely consistent with the notion of an accelerated expansion in the late universe. Finally, it has been shown that the universe in both the models follows the power law form of expansion around the critical point, which is consistent with the known results.
14 pages, 14 figures
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- Gravitational Collapse With Dark Energy And Dark Matter In Hořava-Lifshitz Gravity
- Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
- Coincidence Problem in f(T) Gravity Models
- How effective is new variable modified Chaplygin gas to play the role of dark energy- A dynamical system analysis in RS II Brane model
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- Ricci-Cubic Holographic Dark Energy: Confronting Observations, Stability and the Cosmic Coincidence Problem