Gravitational oscillations in multidimensional anisotropic model with cosmological constant and their contributions into the energy of vacuum

Were studied classical oscillations of background metric in the multidimensional anisotropic model of Kazner in the de-Sitter stage. Obtained dependence of fluctuations on dimension of space-time with infinite expansion. Stability of the model could be achieved when number of space-like dimensions equals or more then four. Were calculated contributions to the density of “vacuum energy”, that are providing by proper oscillations of background metric and compared with contribution of cosmological arising of particles due to expansion. As it turned out, contribution of gravitational oscillation of metric into density of “vacuum energy” should play significant role in the de-Sitter stage.