Noether symmetry in teleparalle extended gravity ‎

In this paper, we study the  modified gravity theory, where  and  represent the scalar-torsion and trace of energy-momentum tensor, respectively. According to our cosmological study, we show that the  gravity theory has a good agreement with observations. Function type for  can be determined by seve...

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Main Authors: A Rezaei Akbarieh, N Eghbali Gazijahani, S Kazempour
Format: Article
Language:English
Published: Isfahan University of Technology 2021-08-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/article_1705_d079b7199b5e7c364cb50a68e3526e54.pdf
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author A Rezaei Akbarieh
N Eghbali Gazijahani
S Kazempour
author_facet A Rezaei Akbarieh
N Eghbali Gazijahani
S Kazempour
author_sort A Rezaei Akbarieh
collection DOAJ
description In this paper, we study the  modified gravity theory, where  and  represent the scalar-torsion and trace of energy-momentum tensor, respectively. According to our cosmological study, we show that the  gravity theory has a good agreement with observations. Function type for  can be determined by several factors. The most important motivation for determining  is that the Lagrangian of model follows the Noether continues symmetry; therefore, according to the Noether approach, we try to determine the function of . Moreover, the proposed model should behave in agreement with observations in terms of phenomenology. As a result, we compared the predictions of the model with observation constrains, for example, the cosmic microwave background and Hubble diagram can be mentioned. In this paper, we study the  gravity in the FRW space-time. So, we achieved the effective Lagrangian with respect to independent variables, scale factor , scalar-torsion  and trace of energy-momentum tensor . After imposing the Noether symmetry to Lagrangian, we can introduce the suitable form for the function. . Then, we calculated the Noether conservative quantity for the model.
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spelling doaj.art-caa3d04d9d9c423e8150ace5a049f73a2022-12-21T21:27:56ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642021-08-0121240941410.47176/ijpr.21.2.211761705Noether symmetry in teleparalle extended gravity ‎A Rezaei Akbarieh0N Eghbali Gazijahani1S Kazempour2‎‎ ‎ Faculty of Physics, University of Tabriz, Tabriz, Iran‎‎ ‎ Faculty of Physics, University of Tabriz, Tabriz, Iran‎‎ ‎ Faculty of Physics, University of Tabriz, Tabriz, IranIn this paper, we study the  modified gravity theory, where  and  represent the scalar-torsion and trace of energy-momentum tensor, respectively. According to our cosmological study, we show that the  gravity theory has a good agreement with observations. Function type for  can be determined by several factors. The most important motivation for determining  is that the Lagrangian of model follows the Noether continues symmetry; therefore, according to the Noether approach, we try to determine the function of . Moreover, the proposed model should behave in agreement with observations in terms of phenomenology. As a result, we compared the predictions of the model with observation constrains, for example, the cosmic microwave background and Hubble diagram can be mentioned. In this paper, we study the  gravity in the FRW space-time. So, we achieved the effective Lagrangian with respect to independent variables, scale factor , scalar-torsion  and trace of energy-momentum tensor . After imposing the Noether symmetry to Lagrangian, we can introduce the suitable form for the function. . Then, we calculated the Noether conservative quantity for the model.http://ijpr.iut.ac.ir/article_1705_d079b7199b5e7c364cb50a68e3526e54.pdfcosmologymodified gravityscalar-torsionteleparallel gravity
spellingShingle A Rezaei Akbarieh
N Eghbali Gazijahani
S Kazempour
Noether symmetry in teleparalle extended gravity ‎
Iranian Journal of Physics Research
cosmology
modified gravity
scalar-torsion
teleparallel gravity
title Noether symmetry in teleparalle extended gravity ‎
title_full Noether symmetry in teleparalle extended gravity ‎
title_fullStr Noether symmetry in teleparalle extended gravity ‎
title_full_unstemmed Noether symmetry in teleparalle extended gravity ‎
title_short Noether symmetry in teleparalle extended gravity ‎
title_sort noether symmetry in teleparalle extended gravity ‎
topic cosmology
modified gravity
scalar-torsion
teleparallel gravity
url http://ijpr.iut.ac.ir/article_1705_d079b7199b5e7c364cb50a68e3526e54.pdf
work_keys_str_mv AT arezaeiakbarieh noethersymmetryinteleparalleextendedgravity
AT neghbaligazijahani noethersymmetryinteleparalleextendedgravity
AT skazempour noethersymmetryinteleparalleextendedgravity