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arXiv · 1601.04519

General Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid

Ben David Normann·Iver Brevik
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Abstract

We derive a general formalism for bulk viscous solutions of the energy-conservation-equation for $\rho(a,\zeta)$, both for a single-component and a multicomponent fluid in the Friedmann universe. For our purposes these general solutions become valuable in estimating order of magnitude of the phenomenological viscosity in the cosmic fluid at present. $H(z)$ observations are found to put an upper limit on the magnitude of the modulus of the present day bulk viscosity. It is found to be $\zeta_0\sim 10^6~$Pa s, in agreement with previous works. We point out that this magnitude is acceptable from a hydrodynamic point of view. Finally, we bring new insight by using our estimates of $\zeta$ to analyse the fate of the future universe. Of special interest is the case $\zeta \propto \sqrt{\rho}$ for which the fluid, originally situated in the quintessence region, may slide through the phantom barrier and inevitably be driven into a big rip. Typical rip times are found to be a few hundred Gy.

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Ben David Normann, Iver Brevik. 2016-01-18. General Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid. https://doi.org/10.3390/e18060215

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