https://doi.org/10.1140/epjp/s13360-022-03091-x
Regular Article
Anisotropic spacetimes in f(T, B) theory III: LRS Bianchi III Universe
1
Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, 1280, Casilla, Antofagasta, Chile
2
Institute of Systems Science, Durban University of Technology, PO Box 1334, 4000, Durban, South Africa
3
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, 5090000, Valdivia, Chile
Received:
11
May
2022
Accepted:
18
July
2022
Published online:
16
August
2022
We study the asymptotic dynamics of f(T, B)-theory in an anisotropic Bianchi III background geometry. We show that an attractor always exists for the field equations, which depends on a free parameter provided by the specific f(T, B) functional form. The attractor is an accelerated spatially flat FLRW or non-accelerated LRS Bianchi III geometry. Consequently, the f(T, B)-theory provides a spatially flat and isotropic accelerated Universe.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
