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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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/567395 |
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| author | Ganim Gecim Yusuf Kucukakca Yusuf Sucu |
| author_facet | Ganim Gecim Yusuf Kucukakca Yusuf Sucu |
| author_sort | Ganim Gecim |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f475fee4e42540b1aef4d4b6386494a2 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-f475fee4e42540b1aef4d4b6386494a22025-02-03T01:11:21ZengWileyAdvances 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 |
| spellingShingle | Ganim Gecim Yusuf Kucukakca Yusuf Sucu Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity Advances in High Energy Physics |
| title | 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_short | Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity |
| title_sort | noether gauge symmetry of dirac field in 2 1 dimensional gravity |
| url | http://dx.doi.org/10.1155/2015/567395 |
| work_keys_str_mv | AT ganimgecim noethergaugesymmetryofdiracfieldin21dimensionalgravity AT yusufkucukakca noethergaugesymmetryofdiracfieldin21dimensionalgravity AT yusufsucu noethergaugesymmetryofdiracfieldin21dimensionalgravity |