Space-time symmetry restoration in cosmological models with Kalb--Ramond and scalar fields

TL;DR

This paper investigates how space-time symmetry is restored in anisotropic cosmological models with scalar and Kalb--Ramond fields, showing that expansion leads to full symmetry restoration in different interaction scenarios.

Contribution

It demonstrates the dynamic restoration of spatial symmetry in anisotropic models with scalar and Kalb--Ramond fields under different interaction conditions.

Findings

Complete spatial symmetry restoration due to expansion.

Symmetry restoration occurs in models with cosmological constant and quadratic interaction.

Expansion dynamically enforces isotropy in the studied models.

Abstract

We study symmetry of space-time in presence of a minimally coupled scalar field interacting with a Kalb--Ramond tensor fields in a homogeneous but initially anisotropic universe. The analysis is performed for the two relevant cases of a pure cosmological constant and a minimal quadratic, renormalizable, interaction term. In both cases, due to expansion, a complete spatial symmetry restoration is dynamically obtained.