Effect of Dynamical Cosmological Constant in presence of Modified Chaplygin Gas for Accelerating Universe

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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12 latex pages, 14 figures, revtex style

Scientific paper

10.1007/s10509-007-9710-6

In this paper we have considered the Universe to be filled with Modified Gas and the Cosmological Constant $\Lambda$ to be time-dependent with or without the Gravitational Constant $G$ to be time-dependent. We have considered various phenomenological models for $\Lambda$, viz., $\Lambda\propto\rho, \Lambda\propto\frac{\dot{a}^{2}}{a^{2}}$ and $\Lambda\propto\frac{\ddot{a}}{a}$. Using these models it is possible to show the accelerated expansion of the Universe at the present epoch. Also we have shown the natures of $G$ and $\Lambda$ over the total age of the Universe. Using the statefinder parameters we have shown the diagramamtical representation of the evolution of the Universe starting from radiation era to $\Lambda$CDM model.

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