Abstract

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.