Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-13
Int. J. Mod. Phys. D 17, 881-896 (2008)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, no figure
Scientific paper
10.1142/S0218271808012553
We analyze the dynamical behavior of a quasi-isotropic Universe in the presence of a cosmological fluid endowed with bulk viscosity. We express the viscosity coefficient as a power-law of the fluid energy density: $\zeta=\zeta_0\epsilon^{s}$. Then we fix $s=1/2$ as the only case in which viscosity plays a significant role in the singularity physics but does not dominate the Universe dynamics (as requested by its microscopic perturbative origin). The parameter $\zeta_0$ is left free to define the intensity of the viscous effects. Following the spirit of the work by E.M. Lifshitz and I.M. Khalatnikov on the quasi-isotropic solution, we analyze both Einstein and hydrodynamic equations up to first and second order in time. As a result, we get a power-law solution existing only in correspondence to a restricted domain of $\zeta_0$.
Carlevaro Nakia
Montani Giovanni
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