Density of vacuum energy for multidimensional model of Kazner with scalar field and cosmological birth of particles

TL;DR

This paper investigates the vacuum energy density and scalar field dynamics in a multidimensional Kazner model with a cosmological constant, deriving effects of anisotropy and particle creation.

Contribution

It introduces a new expression for vacuum energy influenced by anisotropic metrics and explores particle creation in a multidimensional cosmological setting.

Findings

Derived the influence of anisotropic metrics on vacuum energy.

Obtained the effective mass of scalar fields depending on the cosmological constant.

Discussed theoretical aspects of particle creation in the model.

Abstract

In the work's considered density of vacuum energy and dynamic of scalar field in multidimensional theory with cosmological constant. Using method of N.N.Bogolubov coefficients, was gotten expression for influence of anisotropic metric to vacuum energy. Obtained the effective mass of massles scalar field, that depends on cosmological constant, and some general theoretical results concerning arising of particles in the model.