Bianchi type I cosmology with a Kalb-Ramond background field

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 ξ1, 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 ξ1 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.

Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace

“…The Maxwell-Kalb-Ramond (MKR) theory is gauge invariant, unitary, and renormalizable when minimally coupled to fermions and represents a massive spin-1 particle [32]. The Kalb-Ramond field appears in several contexts in the literature, in particular we can mention its study within contexts of string theories [38], quantum field theory [39,40], supersymmetry [41], Lorentz symmetry violation [42][43][44][45], black hole solutions [46], cosmology [47,48], and brane words scenarios [49,50].…”