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 $H_0$ 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.

19 pages, 4 figures

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• Teleparallel Gravity: From Theory to Cosmology
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration
• Dynamical system analysis in teleparallel gravity with boundary term
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• Improving data-driven model-independent reconstructions and updated constraints on dark energy models from Horndeski cosmology
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Dynamical system analysis in modified Galileon cosmology
• The first non-static inhomogeneous exact solution in $f(T,B)$ gravity
• Production of Primordial Gravitational Waves in Teleparallel Gravity