On the Role of Viscosity in Early Cosmology

Details On the Role of Viscosity in Early Cosmology On the Role of Viscosity in Early Cosmology

2008-01-22

arxiv.org/abs/0801.3368v4

Int. J. Mod. Phys. A 23, 1248-1252 (2008)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figure

Scientific paper

10.1142/S0217751X08040160

We present a discussion of the effects induced by bulk viscosity on the very early Universe stability. The viscosity coefficient is assumed to be related to the energy density $\rho$ via a power-law of the form $\zeta=\zeta_0 \rho^s$ (where $\zeta_0, s=const.$) and the behavior of the density contrast in analyzed. In particular, we study both Einstein and hydrodynamic equations up to first and second order in time in the so-called quasi-isotropic collapsing picture near the cosmological singularity. As a result, we get a power-law solution existing only in correspondence to a restricted domain of $\zeta_0$. The particular case of pure isotropic FRW dynamics is then analyzed and we show how the asymptotic approach to the initial singularity admits an unstable collapsing picture.

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