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Advances in Mathematical Physics
Volume 2012 (2012), Article ID 714350, 11 pages
http://dx.doi.org/10.1155/2012/714350
Research Article

Statefinder Diagnostic for Variable Modified Chaplygin Gas in LRS Bianchi Type I Universe

Department of Mathematics, Sant Gadge Baba Amravati University, Amravati 444602, India

Received 7 March 2012; Revised 12 May 2012; Accepted 3 June 2012

Academic Editor: Remi Leandre

Copyright © 2012 K. S. Adhav. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Locally Rotationally Symmetric (LRS) Bianchi type I cosmological model with variable modified Chaplygin gas having the equation of state 𝑝 = 𝐴 𝜌 𝐵 / 𝜌 𝛼 , where 0 𝛼 1 , 𝐴 is a positive constant, and 𝐵 is a positive function of the average-scale factor 𝑎 ( 𝑡 ) of the universe (i.e., 𝐵 = 𝐵 ( 𝑎 ) ) has been studied. It is shown that the equation of state of the variable modified Chaplygin gas interpolates from radiation-dominated era to quintessence-dominated era. The statefinder diagnostic pair (i.e., { 𝑟 , 𝑠 } parameter) is adopted to characterize different phases of the universe.