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Entropy of viscous Universe models

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Abstract

The cosmological event horizon entropy and the apparent horizon entropy of the ΛCDM and the Bianchi type I Universe model with viscosity has been calculated numerically, and analytically in the large time limit. It is shown that for these Universe models the cosmological event horizon entropy increases with time and for large times it approaches a finite maximum value. The effect of viscosity upon the entropy is also studied and we have found that its role is to decrease the entropy. The bigger the viscosity coefficient is the less the entropy will be. Furthermore, the radiation entropy for the ΛCDM Universe model with and without viscosity is investigated, and together with the cosmological event horizon entropy are used to examine the validity of the generalized second law of thermodynamics, which states that the total rate of change of entropy of the Universe is never negative, in this Universe model.

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Authors and Affiliations

  1. Department of Physics, University of Oslo, 0316, Oslo, Norway

    Nouraddin Mostafapoor & Øyvind Grøn

  2. Faculty of engineering, Oslo College, Pilestredet 35, 0167, Oslo, Norway

    Nouraddin Mostafapoor & Øyvind Grøn

Authors
  1. Nouraddin Mostafapoor
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  2. Øyvind Grøn
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Correspondence to Nouraddin Mostafapoor.

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Mostafapoor, N., Grøn, Ø. Entropy of viscous Universe models. Astrophys Space Sci 349, 11–24 (2014). https://doi.org/10.1007/s10509-013-1604-1

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