Abstract

In this paper we propose a new dark energy model in the teleparallel alternative of general relativity, by considering a generalized non-minimal coupling of a tachyonic scalar field with the teleparallel boundary term. Within the framework of teleparallel gravity, the boundary coupling term is associated with the divergence of the torsion vector. Considering the linear stability technique for various potentials and couplings, we have analyzed the dynamical properties of the present tachyonic dark energy model in the phase space, uncovering the corresponding essential dynamical features. Our study of the phase space structure revealed that for a specific class of potential energy, this model exhibits various critical points which are related to different cosmological behaviors, such as accelerated expansion and scaling solutions, determining the existence conditions and the corresponding physical features.

Highlights

  • It may be the case that the fundamental and observational problems surrounding CDM may be resolved in the coming years, or it may be the case that CDM needs to be changed in some way

  • In this paper we propose a new dark energy model in the teleparallel alternative of general relativity, by considering a generalized non-minimal coupling of a tachyonic scalar field with the teleparallel boundary term

  • Due to limited physical effects associated to the A critical point, we relied our analysis only on linear stability methods, exploring the specific conditions where the stability corresponds to a saddle dynamical behav

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Summary

Introduction

It may be the case that the fundamental and observational problems surrounding CDM may be resolved in the coming years, or it may be the case that CDM needs to be changed in some way. C (2019) 79:324 itational physics in that the expression of curvature, torsion, or nonmetricity is not a property of the manifold itself but of the connection which relates the elemental tangent spaces of the manifold [16] In this way, one can choose to consider gravitation in terms of the curvatureless Weitzenböck connection which observes the metricity property. [46], a tachyonic field is investigated for the modified teleparallel setting, latetime accelerating attractor solutions are found with a field equation of state that realistically tends to the current dark energy value. This approach was extended to more general models in Ref. Eμa and Eaμ represent the tetrads and the inverse of the tetrads respectively and the (+ − −−) metric signature is used

Generalized tachyonic teleparallel theories of gravity
Dynamical system of the model
Power-law coupling and exponential potential
Exponential coupling and inverse hyperbolic sine potential
Conclusions
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