Renormalization Group Approach to Causal Viscous Cosmological Models

Abstract

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.

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

References in corpus (3)

• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Cosmology with Self-Adjusting Vacuum Energy Density from a Renormalization Group Fixed Point
• Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology

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• Viscous Quark-Gluon Plasma in the Early Universe
• Exact solutions of a Flat Full Causal Bulk viscous FRW cosmological model through factorization
• Renormalization Group approach to Inhomogeneous Cosmology