Dynamical complexity of the teleparallel gravity cosmology

Abstract

The exploration of teleparallel gravity has been done from a dynamical systems point of view in order to be tested against the cosmological evolution currently observed. So far, the proposed autonomous systems have been restrictive over a constant dynamical variable, which contains information related to the dynamics on the H0 value. It is therefore that in this paper we consider a generalization of the dynamical system by imposing a nonconstant degree of freedom over it which allows us to rewrite a generic autonomous dynamical analysis. We describe the treatment of our nonlinear autonomous system by studying the hyperbolic critical points and discuss an interesting phenomenological feature in regards to H0: the possibility to obtain a best-fit value for this parameter in a cosmologically viable f (T ,B ) model, a mixed power law. This result allows us to present a generic scenario in which it is possible to fix constraints to solve the H0 tension at late times where its linearized solutions are considered.