Bianchi type I cosmology with a Kalb-Ramond background field

TL;DR

This paper explores how a Kalb-Ramond field in Bianchi I cosmology can lead to Lorentz symmetry breaking, affecting the universe's expansion rate and providing constraints on the coupling constant during dark energy dominance.

Contribution

It demonstrates the role of the coupling constant  in generating Lorentz violation coefficients from the Kalb-Ramond field within a Bianchi I universe model.

Findings

Lorentz symmetry breaking causes anisotropic expansion.

The coupling constant  influences the expansion rate during dark energy era.

Constraints on 's range of validity are established.

Abstract

An effect of the Lorentz symmetry breaking is pointed out in the cosmological context. Using a Bianchi I geometry coupled to the Kalb-Ramond field, a consequence of the Lorentz symmetry violation is indicated by a different rate of expansion in a given spatial direction. This article focuses on the coupling constant $\xi_1$, which generates, from the Kalb-Ramond field, all three coefficients that give rise to the Lorentz violation in the gravity sector of the minimal Standard Model Extension. The coupling constant $\xi_1$ increases the rate of expansion of the universe in a given direction during a dark energy era. As a consequence, a range of validity of that coupling constant is also obtained.