Interacting quintessence in a new scalar-torsion gravity

Abstract

In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a suitable choice of auxiliary variables that allows us to perform the phasespace analysis of the model we obtain the critical points and their stability. While there is no scaling attractor in non-interacting scenario, by considering an interaction between dark energy and dark matter, we find scaling attractors in which the fractional densities of dark energy and matter are non-vanishing constants over there. The universe can evolve to these scaling attractors regardless of initial conditions and the cosmological coincidence problem could be alleviated without fine-tunings.

Scalar–tensor teleparallel gravity with boundary term by Noether symmetries

“…On the other hand, an alternative gravitational scenario the so-called teleparallel dark energy, has been presented in the framework of TG in Ref. [51][52][53][54][55][56][57][58][59][60][61] where authors considered the scalar field to be nonminimally coupled to the torsion in the form of ξ T φ 2 . Considering the nonminimal coupling between the scalar field and the torsion scalar opens a new window in analysing the cosmological evolution of the universe.…”

Parameterized post-Newtonian approximation in a teleparallel model of dark energy with a boundary term

“…This can be accomplished by considering modified f (T ) models [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24], where T is the torsion scalar, or by introducing exotic field such as quintessence. Assuming a non-minimal coupling between the scalar field and the torsion opens new windows in studying the cosmological evolution [25][26][27][28][29][30][31], and can be viewed as a promising scenario for late time acceleration and super-acceleration [32].…”

Late time evolution of a nonminimally coupled scalar field system

“…In the literature, it is known as the scalar-tensor theory that has been studied for decades, and appeared in Brans-Dicke theory to match the Mach's principle with general relativity [3]. In this theory, the Newtonian gravitational constant is not a constant but it is the function of scalar field that appears into the action in a particular form with the curvature term as φ 2 R. The NMC scalar field models due to interesting features are of great interest to dark energy models [4][5][6][7][8][9][10][11], and have been widely studied in [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”