Eur. Phys. J. Plus (2022) 137: 855
https://doi.org/10.1140/epjp/s13360-022-03083-x

Regular Article

Anisotropic spacetimes in f(T, B) theory II: Kantowski–Sachs Universe

¹ Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta, Chile
² Institute of Systems Science, Durban University of Technology, P.O. Box 1334, 4000, Durban, South Africa
³ Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, 5090000, Valdivia, Chile

^b anpaliat@phys.uoa.gr

Received: 11 May 2022
Accepted: 17 July 2022
Published online: 25 July 2022

Abstract

In the context of the modified teleparallel f(T, B) theory of gravity, we consider a homogeneous and anisotropic background geometry described by the Kantowski–Sachs line element. We derive the field equations and investigate the existence of exact solutions. Furthermore, the evolution of the trajectories for the field equations is studied by deriving the stationary points at the finite and infinite regimes. For the $f(T,B)=T+F\left(B\right)$ theory, we prove that for a specific limit of the function $F\left(B\right)$, the anisotropic Universe has the expanding and isotropic Universe as an attractor with zero spatial curvature. We remark that there are no future attractors where the asymptotic solution describes a Universe with nonzero spatial curvature.