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

TL;DR

This paper investigates classical gravitational oscillations in a multidimensional anisotropic universe with a cosmological constant, analyzing their impact on vacuum energy density during the de-Sitter expansion phase.

Contribution

It introduces a detailed analysis of metric oscillations in higher-dimensional models and quantifies their contribution to vacuum energy, highlighting their significance in the early universe.

Findings

Oscillations depend on the number of space-time dimensions.

Model stability requires at least four spatial dimensions.

Gravitational oscillations significantly contribute to vacuum energy density.

Abstract

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.