Hubble Parameter in QCD Universe for finite Bulk Viscosity

Details Hubble Parameter in QCD Universe for finite Bulk Viscosity Hubble Parameter in QCD Universe for finite Bulk Viscosity

2010-08-05

arxiv.org/abs/1008.0971v2

Annalen Phys.522:912-923,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages (revtex4 style), 5 figures with 8 eps graphs

Scientific paper

10.1002/andp.201000103

We consider the influence of the perturbative bulk viscosity on the evolution of the Hubble parameter in the QCD era of the early Universe. For the geometry of the Universe we assume the homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker metric, while the background matter is assumed to be characterized by barotropic equations of state, obtained from recent lattice QCD simulations, and heavy--ion collisions, respectively. Taking into account a perturbative form for the bulk viscosity coefficient, we obtain the evolution of the Hubble parameter, and we compare it with its evolution for an ideal (non-viscous) cosmological matter. A numerical solution for the viscous QCD plasma in the framework of the causal Israel-Stewart thermodynamics is also obtained. Both the perturbative approach and the numerical solution qualitatively agree in reproducing the viscous corrections to the Hubble parameter, which in the viscous case turns out to be slightly different as compared to the non--viscous case. Our results are strictly limited within a very narrow temperature- or time-interval in the QCD era, where the quark-gluon plasma is likely dominant.

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