https://doi.org/10.1140/epjp/s13360-021-02071-x
Regular Article
Cosmological evolution in f(T, B) gravity
1
Institute of Systems Science, Durban University of Technology, 4000, Durban, South Africa
2
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
3
Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, 1280, Casilla, Antofagasta, Chile
Received:
2
August
2021
Accepted:
14
October
2021
Published online:
29
October
2021
For the fourth-order teleparallel 
theory of gravity, we investigate the cosmological evolution for the universe in the case of a spatially flat Friedmann–Lemaître–Robertson–Walker background space. We focus on the case for which is separable, that is, 
and is a nonlinear function on the scalars T and B. For this fourth-order theory, we use a Lagrange multiplier to introduce a scalar field function which attributes the higher-order derivatives. In order to perform the analysis of the dynamics, we use dimensionless variables which allow the Hubble function to change sign. The stationary points of the dynamical system are investigated both in the finite and infinite regimes. The physical properties of the asymptotic solutions and their stability characteristics are discussed.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
