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.
Highlights
There is a common statement that both the Lorentz and the C P T symmetries violations would be fingerprints of a brand new physics at the Planck scale
The Standard-Model Extension (SME) is an effective field theory that is in agreement with the gauge structure of the Standard Model (SM) of particle physics, allowing the inclusion of Lorentz-violating coefficients that break the particle Lorentz invariance, but such coefficients still preserve the invariance under observer Lorentz transformations [10]
In order to study the influence of the coupling constant ξ1 on the spacetime dynamics, we assume the Bianchi I geometry as the cosmological spacetime, allowing that spatial directions are different from each other, illustrating an effect of the Lorentz symmetry violation on spacetime
Summary
There is a common statement that both the Lorentz and the C P T symmetries violations would be fingerprints of a brand new physics at the Planck scale. We will continue these investigations on Lorentz symmetry breaking, assuming an antisymmetric 2-tensor background field coupled to gravity in the Bianchi I geometry instead of a background vector field. [37] adopted both the Einsteinian gravity and the nonminimal model for the Kalb–Ramond field (like us) in order to obtain a de Sitter phase and the inflationary period Such works, in the cosmological context, chose the FLRW metric as the geometry of the universe, not the Bianchi I like our work, and do not assume the Lorentz symmetry breaking.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
