Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach

Abstract In this paper, a modified teleparallel gravity action containing a coupling be- tween a scalar field potential and magnetism, in anisotropic and homogeneous backgrounds, is investigated through Noether symmetry approach. The focus of this work is to describe late-time-accelerated expansion....

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Main Author: Behzad Tajahmad
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2020)084
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author Behzad Tajahmad
author_facet Behzad Tajahmad
author_sort Behzad Tajahmad
collection DOAJ
description Abstract In this paper, a modified teleparallel gravity action containing a coupling be- tween a scalar field potential and magnetism, in anisotropic and homogeneous backgrounds, is investigated through Noether symmetry approach. The focus of this work is to describe late-time-accelerated expansion. Since finding analytical solutions carrying all conserved currents emerged by Noether symmetry approach, is very difficult, hence regularly in the literature, the authors split the total symmetry into sub-symmetries and then select, usually, some of them to be carried by the solutions. This manner limits the forms of unknown functions obtained. However, in ref. [67], B.N.S. approach was proposed in order to solve such problems but its main motivation was carrying more conserved currents by solutions. In this paper, by eliminating the aforementioned limitation as much as possible, a trick leading to some graceful forms of unknown functions is suggested. Through this fruitful approach, the solutions may carry more conserved currents than usual ways and maybe new forms of symmetries. I named this new approach to be CSSS-trick (Combination of Sub-symmetries through Special Selections). With this approach, it is demonstrated that the unified dark matter potential is deduced by the gauge fields. Utilizing the B-function method, a detailed data analysis of results obtained yielding perfect agreements with recent observational data are performed. And finally, the Wheeler-De Witt (WDW) equation is discussed to demonstrate recov- ering the Hartle criterion due to the oscillating feature of the wave function of the universe.
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spelling doaj.art-b7d1ecbd6c274751804728b6246562a12022-12-21T19:47:21ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020214010.1007/JHEP02(2020)084Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approachBehzad Tajahmad0Faculty of Physics, University of TabrizAbstract In this paper, a modified teleparallel gravity action containing a coupling be- tween a scalar field potential and magnetism, in anisotropic and homogeneous backgrounds, is investigated through Noether symmetry approach. The focus of this work is to describe late-time-accelerated expansion. Since finding analytical solutions carrying all conserved currents emerged by Noether symmetry approach, is very difficult, hence regularly in the literature, the authors split the total symmetry into sub-symmetries and then select, usually, some of them to be carried by the solutions. This manner limits the forms of unknown functions obtained. However, in ref. [67], B.N.S. approach was proposed in order to solve such problems but its main motivation was carrying more conserved currents by solutions. In this paper, by eliminating the aforementioned limitation as much as possible, a trick leading to some graceful forms of unknown functions is suggested. Through this fruitful approach, the solutions may carry more conserved currents than usual ways and maybe new forms of symmetries. I named this new approach to be CSSS-trick (Combination of Sub-symmetries through Special Selections). With this approach, it is demonstrated that the unified dark matter potential is deduced by the gauge fields. Utilizing the B-function method, a detailed data analysis of results obtained yielding perfect agreements with recent observational data are performed. And finally, the Wheeler-De Witt (WDW) equation is discussed to demonstrate recov- ering the Hartle criterion due to the oscillating feature of the wave function of the universe.https://doi.org/10.1007/JHEP02(2020)084Cosmology of Theories beyond the SMClassical Theories of Gravity
spellingShingle Behzad Tajahmad
Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach
Journal of High Energy Physics
Cosmology of Theories beyond the SM
Classical Theories of Gravity
title Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach
title_full Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach
title_fullStr Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach
title_full_unstemmed Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach
title_short Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach
title_sort late time accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for noether s approach
topic Cosmology of Theories beyond the SM
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP02(2020)084
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