On the "scattering law" for Kasner parameters in the model with one-component anisotropic fluid

Details On the "scattering law" for Kasner parameters in the model with one-component anisotropic fluid On the "scattering law" for Kasner parameters in the model with one-component anisotropic fluid

2009-12-31

arxiv.org/abs/1001.0127v1

Grav.Cosmol.16:195-204,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 1 figure, Latex

Scientific paper

10.1134/S0202289310030023

A multidimensional cosmological type model with 1-component anisotropic fluid is considered. An exact solution is obtained. This solution is defined on a product manifold containing n Ricci-flat factor spaces. We singled out a special solution governed by the function cosh. It is shown that this special solution has Kasner-like asymptotics in the limits \tau \to + 0 and \tau \to + \infty, where \tau is a synchronous time variable. A relation between two sets of Kasner parameters \alpha_{\infty} and \alpha_{0} is found. This formula (of "scattering law") is coinciding with that obtained earlier for the S-brane solution (when scalar fields are absent).

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