Dynamical complexity of the Teleparallel gravity cosmology [CL]

http://arxiv.org/abs/2101.06347


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 generalisation of the dynamical system by imposing a non-constant degree of freedom over it which allows us to rewrite a generic autonomous dynamical analysis. We will describe the treatment of our non-linear autonomous system by study 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 cosmological viable $f(T,B)$ model, a mixed power law. This result allows to present a generic scenario in which it is possible to fix constraints to alleviate $H_0$ tension at present time.

Read this paper on arXiv…

G. Rave-Franco, C. Escamilla-Rivera and J. Said
Tue, 19 Jan 21
79/92

Comments: 24 pages, 4 figures