COSMOLOGICAL SOLUTIONS OF THE EINSTEIN EQUATIONS WITH A CAUSAL VISCOUS-FLUID

Citation
Lp. Chimento et As. Jakubi, COSMOLOGICAL SOLUTIONS OF THE EINSTEIN EQUATIONS WITH A CAUSAL VISCOUS-FLUID, Classical and quantum gravity, 10(10), 1993, pp. 2047-2058
Citations number
26
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
10
Issue
10
Year of publication
1993
Pages
2047 - 2058
Database
ISI
SICI code
0264-9381(1993)10:10<2047:CSOTEE>2.0.ZU;2-G
Abstract
We investigate the behaviour of the solutions to the Einstein equation s with a causal viscous fluid source in the case of the spatially flat Robertson-Walker metric. In our model, the bulk viscosity coefficient is related to the energy density as zeta = alpharho(m), and the relax ation time is given by zeta/rho. We find the exact solutions when m = 1/2, and we study analytically the asymptotic stability of the distinc t families of solutions for arbitrary m. We find that the qualitative asymptotic behaviour in the far future is not altered by relaxation pr ocesses, but they change the behaviour in the past, either excluding d eflationary evolutions or making the Universe bounce due to the violat ion of the energy conditions.