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Multidimensional conformal-flat space-times and a linear equation of state
Baranov A.M.1, Saveljev E.V.2
1 Krasnoyarsk State Pedagogical University named after V.P.Astaf'ev, Krasnoyarsk, Russia;
2 OOO "PROFILL - 2S", Moscow, Russia;
E-mail: Baranov
The finding problem of conformal-flat cosmological models as exact solutions of the equations of gravitation for different equations of state with linear connection between pressure and energy density is demonstrated within the limits of multidimensional space-time with one time-like direction. It turns out that such approach leads to an identification of some discrete set of equations of state for which conformal factors are connected with the harmonic functions as solutions of the Laplace equations in multidimensional Euclidean spaces of an integer dimensionality. Dimensionality of these spaces, in turn, is defined by a concrete equation of state. For four-dimensional space-times the corresponding table is constructed.
Keywords: Multidimensional space-times, linear equation of state, multidimensional the Laplace equation, conformal-flat space-times, open cosmological models, exact solutions of gravitational equations.
DOI: 10.18698/2309-7604-2015-1-81-100
Article file: Baranov.pdf
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