Renormalization Group Approach to Causal Viscous Cosmological Models

Details Renormalization Group Approach to Causal Viscous Cosmological Models Renormalization Group Approach to Causal Viscous Cosmological Models

2001-08-29

arxiv.org/abs/gr-qc/0108074v2

Class.Quant.Grav.19:3003-3015,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages. RevTeX4. Revised version. Accepted in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/19/11/316

The renormalization group method is applied to the study of homogeneous and flat Friedmann-Robertson-Walker type Universes, filled with a causal bulk viscous cosmological fluid. The starting point of the study is the consideration of the scaling properties of the gravitational field equations, of the causal evolution equation of the bulk viscous pressure and of the equations of state. The requirement of scale invariance imposes strong constraints on the temporal evolution of the bulk viscosity coefficient, temperature and relaxation time, thus leading to the possibility of obtaining the bulk viscosity coefficient-energy density dependence. For a cosmological model with bulk viscosity coefficient proportional to the Hubble parameter, we perform the analysis of the renormalization group flow around the scale invariant fixed point, therefore obtaining the long time behavior of the scale factor.

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