V. E. Kuzmichev, V. V. Kuzmichev
The standard cosmological model supposes that the dominant matter component changes in the course of the evolution of the universe. We study the homogeneous and isotropic universe with non-zero cosmological constant in the epoch when the dominant matter component has a form of a gas of low-velocity cosmic strings. It is shown that after the scale transformation of the time variable such a model and the standard model of a spatially flat universe filled with pressure-free matter provide the equivalent descriptions of cosmological parameters as functions of time at equal values of the cosmological constant. The exception is the behavior of the deceleration parameter in the early universe. Pressure-free matter can obtain the properties of a gas of low-velocity cosmic strings in the epoch when the global geometry and total amount of matter in the universe as a whole obey an additional constraint. This constraint follows from the quantum geometrodynamical approach in the semiclassical approximation. In terms of general relativity, its effective contribution to the field equations can be linked to the evolution in time of the equation of state of matter caused by the processes of redistribution of energy between matter components.
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http://arxiv.org/abs/1111.0172
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