Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry

Abstract

As usual, we observe an unknown coupling function, i.e. $F(\phi )$, with a function of torsion and also curvature, i.e. $f(T)$ and $f(R)$, generally depending on a scalar field. In $f(R)$ case, it comes from quantum correlations and other reasons. Now, what if beside this term in $f(T)$-gravity context, we enhance the action through another term which depends on both scalar field and its derivatives? In this paper, we have added such an unprecedented term in the generic common action of $f(T)$-gravity such that in this new term, an unknown function of torsion has coupled with an unknown function of both scalar field and its derivatives. We have explained why we can append such term, in the introduction in details. By the use of Noether symmetry approach, we have considered its behavior and effect. We have shown that it does not produce an anomaly, but rather it works successfully and numerical analysis of the exact solutions of field equations coincide with all most important observational data particularly late-time-accelerated expansion. So, this new term may be added to the gravitational actions of $f(T)$-gravity.

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Cited by in corpus (6)

• Teleparallel Gravity: From Theory to Cosmology
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Resolving FLRW cosmology through effective equations of state in $f(T)$ gravity
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity
• Phase space of multi-fluid universe in $F(T)$-gravity and some enhancements for the oscillating interaction model