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We consider the gravitational model with additional spatial dimensions andanisotropic pressure which is nonzero only in these dimensions. Cosmologicalsolutions in this model include accelerated expansion of the Universe at lateage of its evolution and dynamical compactification of extra dimensions. Thismodel describes observational data for Type Ia supernovae on the level orbetter than the $\Lambda$CDM model. We analyze two equations of state resultingin different predictions for further evolution, but in both variants theacceleration epoch is finite.

Multidimensional gravitational model with anisotropic pressure