Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-05-16
Class.Quant.Grav.14:2203-2218,1997
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, Latex 2.09
Scientific paper
10.1088/0264-9381/14/8/019
Multidimensional cosmological model describing the evolution of a fluid with shear and bulk viscosity in $n$ Ricci-flat spaces is investigated. The barotropic equation of state for the density and the pressure in each space is assumed. The second equation of state is chosen in the form when the bulk and the shear viscosity coefficients are inversely proportional to the volume of the Universe. The integrability of Einstein equations reads as a colinearity constraint between vectors which are related to constant parameters in the first and second equations of state. We give exact solutions in a Kasner-like form. The processes of dynamical compactification and the entropy production are discussed. The non-singular $D$-dimensional isotropic viscous solution is singled out.
Gavrilov V. R.
Melnikov Vitaly N.
Triay Roland
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