Dynamics of modified Chaplygin gas in brane world scenario: phase plane analysis |
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Authors: | Prabir Rudra Ujjal Debnath Ritabrata Biswas |
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Institution: | (1) Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India;(2) Department of Mathematics, Jadavpur University, Kolkata, 700 032, India |
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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. |
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Keywords: | |
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