Dynamical complexity of the teleparallel gravity cosmology

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 H-0 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 H-0: 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 H-0 tension at late times where its linearized solutions are considered.

Automated summary

The study explores teleparallel gravity from a dynamical systems perspective, introducing a nonconstant degree of freedom to improve existing autonomous system models for a new dynamical analysis. By studying hyperbolic critical points, a possible solution to the H-0 tension in a cosmologically viable f(T,B) mixed power law model is suggested.