Multidimensional cosmology with anisotropic fluid: acceleration and variation of G
Abstract
A multidimensional cosmological model describing the dynamics of n+1 Ricci-flat factor-spaces Mi in the presence of a one-component anisotropic fluid is considered. The pressures in all spaces are proportional to the density: pi = wi , i = 0,...,n. Solutions with accelerated expansion of our 3-space M0 and small enough variation of the gravitational constant G are found. These solutions exist for two branches of the parameter w0. The first branch describes superstiff matter with w0 > 1, the second one may contain phantom matter with w0 < - 1, e.g., when G grows with time.
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