Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity

Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity

We consider a gravitational theory including a Dirac field that is nonminimally coupled to gravity in 2 + 1 dimensions. Noether gauge symmetry approach can be used to fix the form of coupling function F(Ψ) and the potential V(Ψ) of the Dirac field and to obtain a constant of motion for the dynamical...

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Main Authors: Ganim Gecim, Yusuf Kucukakca, Yusuf Sucu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/567395
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spelling doaj-f475fee4e42540b1aef4d4b6386494a22020-11-24T22:15:04ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/567395567395Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional GravityGanim Gecim0Yusuf Kucukakca1Yusuf Sucu2Department of Physics, Akdeniz University, 07058 Antalya, TurkeyDepartment of Physics, Akdeniz University, 07058 Antalya, TurkeyDepartment of Physics, Akdeniz University, 07058 Antalya, TurkeyWe consider a gravitational theory including a Dirac field that is nonminimally coupled to gravity in 2 + 1 dimensions. Noether gauge symmetry approach can be used to fix the form of coupling function F(Ψ) and the potential V(Ψ) of the Dirac field and to obtain a constant of motion for the dynamical equations. In the context of (2 + 1)-dimensional gravity, we investigate cosmological solutions of the field equations using these forms obtained by the existence of Noether gauge symmetry. In this picture, it is shown that, for the nonminimal coupling case, the cosmological solutions indicate both an early-time inflation and late-time acceleration for the universe.http://dx.doi.org/10.1155/2015/567395
collection DOAJ
language English
format Article
sources DOAJ
author Ganim Gecim
Yusuf Kucukakca
Yusuf Sucu
spellingShingle Ganim Gecim
Yusuf Kucukakca
Yusuf Sucu
Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity
Advances in High Energy Physics
author_facet Ganim Gecim
Yusuf Kucukakca
Yusuf Sucu
author_sort Ganim Gecim
title Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity
title_short Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity
title_full Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity
title_fullStr Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity
title_full_unstemmed Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity
title_sort noether gauge symmetry of dirac field in (2 + 1)-dimensional gravity
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2015-01-01
description We consider a gravitational theory including a Dirac field that is nonminimally coupled to gravity in 2 + 1 dimensions. Noether gauge symmetry approach can be used to fix the form of coupling function F(Ψ) and the potential V(Ψ) of the Dirac field and to obtain a constant of motion for the dynamical equations. In the context of (2 + 1)-dimensional gravity, we investigate cosmological solutions of the field equations using these forms obtained by the existence of Noether gauge symmetry. In this picture, it is shown that, for the nonminimal coupling case, the cosmological solutions indicate both an early-time inflation and late-time acceleration for the universe.
url http://dx.doi.org/10.1155/2015/567395
work_keys_str_mv AT ganimgecim noethergaugesymmetryofdiracfieldin21dimensionalgravity
AT yusufkucukakca noethergaugesymmetryofdiracfieldin21dimensionalgravity
AT yusufsucu noethergaugesymmetryofdiracfieldin21dimensionalgravity
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