Temperature evolution of the FRW universe filled with modified Chaplygin gas

Physics

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Observational Cosmology, Thermodynamic Functions And Equations Of State, Thermodynamic Processes, Conduction, Convection, Equations Of State, Cosmology

Scientific paper

The thermodynamical evolution of the modified Chaplygin gas (MCG) with equation of state p=Bρ-Aρ is studied in the context of the Friedmann flat cosmological model. The temperature as a function of redshift z is obtained. In order to describe the universe since the radiation era, the constant B is chosen to be B=1/3. Today's temperature of 2.7 K and the temperature at decoupling (z≈1100) are used to fix the values of the parameters A and α, yielding α=1/4 and A=(B+1)Ωρ0α+1=(4/3)0.7ρ05/4. With these values, the redshift of the transition from positive to negative acceleration is calculated to be z=0.18. Using observational data for the redshift at a¨=0 and fixing B=1/3, the best values for the other parameters are α=1/4 and Ω=0.75, yielding T(z=1100)≈4000 K and z=0.25.

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