f(T,B)$$ \boldsymbol{f}\left(\boldsymbol{T},\boldsymbol{B}\right) $$ gravity in a Friedmann-Lemaitre-Robertson-Walker universe with nonzero spatial curvature

We investigate exact solutions and the asymptotic dynamics for the Friedmann-Lemaitre-Robertson-Walker universe with nonzero spatial curvature in the fourth-order modified teleparallel gravitational theory known as f(T,B)$$ f\left(T,B\right) $$ theory. We show that the field equations admit a minisuperspace description, and they can reproduce any exact form of the scale factor. Moreover, we calculate the equilibrium points and analyze their stability. We show that Milne and Milne-like solutions are supported, and the de Sitter universe is provided. To complete our analysis, we use Poincare variables to investigate the dynamics at infinity.

Automated summary

We investigate exact solutions and the asymptotic dynamics for the Friedmann-Lemaitre-Robertson-Walker universe with nonzero spatial curvature in the fourth-order modified teleparallel gravitational theory known as f(T,B) theory. The field equations can be described in minisuperspace and can reproduce any exact form of the scale factor. Equilibrium points are calculated and their stability is analyzed. Milne and Milne-like solutions are supported, and the existence of a de Sitter universe is shown. Poincare variables are used to investigate the dynamics at infinity in order to complete the analysis.