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arXiv · 2101.06347

Dynamical complexity of the Teleparallel gravity cosmology

Geovanny A. Rave-Franco·Celia Escamilla-Rivera·Jackson Levi Said
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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 $H_0$ 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.

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Geovanny A. Rave-Franco, Celia Escamilla-Rivera, Jackson Levi Said. 2021-01-16. Dynamical complexity of the Teleparallel gravity cosmology. https://doi.org/10.1103/physrevd.103.084017

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