Regular Article - Theoretical Physics
Bianchi type I cosmology with a Kalb–Ramond background field
Departamento de Física, Universidade Federal do Ceará (UFC), C.P. 6030, Campus do Pici, 60455-760, Fortaleza, CE, Brazil
2 Instituto de Ciência e Tecnologia, Universidade Federal de Alfenas, 11999, Rodovia José Aurélio Vilela, CEP 37715-400, Poços de Caldas, MG, Brazil
Accepted: 4 February 2022
Published online: 12 February 2022
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 , 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 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.
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