Cardy-Verlinde Entropy Formula in the Presence of a General Cosmological State Equation

Details Cardy-Verlinde Entropy Formula in the Presence of a General Cosmological State Equation Cardy-Verlinde Entropy Formula in the Presence of a General Cosmological State Equation

2002-04-04

arxiv.org/abs/gr-qc/0204021v1

Phys.Rev.D65:127302,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX, no figures

Scientific paper

10.1103/PhysRevD.65.127302

As recently found by Youm [hep-th/0201268], the entropy of the universe will no longer be expressible in the conventional Cardy-Verlinde form if one relaxes the radiation dominance state equation and instead assumes a more general equation of the form p=(\gamma-1)\rho, with \gamma a constant. We show that Youm's generalized entropy formula remains valid when the cosmic fluid is no longer ideal, but is allowed to possess a constant bulk viscosity \zeta. We supply our analysis with some numerical estimates, thus calculating the scale factor a(t) for a k=0 universe, and also calculate via a perturbative expansion in \zeta the magnitude of the viscosity-induced correction to the scale factor if the universe is radiation dominated.

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