Quantum effects in higher-dimensional cosmological models

TL;DR

This paper studies quantum vacuum effects of a scalar field in higher-dimensional de Sitter and anti-de Sitter spacetimes, focusing on compactified dimensions, boundary conditions, and implications for braneworld models.

Contribution

It provides new insights into vacuum energy densities and stresses in higher-dimensional cosmological models with compactified dimensions and Robin boundary conditions.

Findings

Vacuum expectation values vary significantly across different asymptotic regions.

Results have implications for the stability and dynamics of Randall-Sundrum braneworlds.

The study extends understanding of quantum effects in higher-dimensional cosmologies.

Abstract

Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in anti-de Sitter spacetime with two parallel branes. On the branes the field obeys the Robin boundary conditions. The behavior of the vacuum expectation values is discussed in various asymptotic regions of the parameters. Applications are given to Randall-Sundrum type braneworlds.