Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions
Abstract In this paper, we present the Noether symmetries of flat FRW spacetime in the context of a new action in teleparallel gravity which we construct based on the f(R) version. This modified action contains a coupling between the scalar field potential and magnetism. Also, we introduce an innova...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | European Physical Journal C: Particles and Fields |
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| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4790-0 |
| _version_ | 1828262458644496384 |
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| author | Behzad Tajahmad |
| author_facet | Behzad Tajahmad |
| author_sort | Behzad Tajahmad |
| collection | DOAJ |
| description | Abstract In this paper, we present the Noether symmetries of flat FRW spacetime in the context of a new action in teleparallel gravity which we construct based on the f(R) version. This modified action contains a coupling between the scalar field potential and magnetism. Also, we introduce an innovative approach, the beyond Noether symmetry (B.N.S.) approach, for exact solutions which carry more conserved currents than the Noether approach. By data analysis of the exact solutions, obtained from the Noether approach, late-time acceleration and phase crossing are realized, and some deep connections with observational data such as the age of the universe, the present value of the scale factor as well as the state and deceleration parameters are observed. In the B.N.S. approach, we consider the dark energy dominated era. |
| first_indexed | 2024-04-13T03:56:10Z |
| format | Article |
| id | doaj.art-fd84e953684246e9b5774f8f589f6374 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T03:56:10Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-fd84e953684246e9b5774f8f589f63742022-12-22T03:03:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-04-0177411110.1140/epjc/s10052-017-4790-0Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutionsBehzad Tajahmad0Faculty of Physics, University of TabrizAbstract In this paper, we present the Noether symmetries of flat FRW spacetime in the context of a new action in teleparallel gravity which we construct based on the f(R) version. This modified action contains a coupling between the scalar field potential and magnetism. Also, we introduce an innovative approach, the beyond Noether symmetry (B.N.S.) approach, for exact solutions which carry more conserved currents than the Noether approach. By data analysis of the exact solutions, obtained from the Noether approach, late-time acceleration and phase crossing are realized, and some deep connections with observational data such as the age of the universe, the present value of the scale factor as well as the state and deceleration parameters are observed. In the B.N.S. approach, we consider the dark energy dominated era.http://link.springer.com/article/10.1140/epjc/s10052-017-4790-0Dark EnergyScalar FieldDeceleration ParameterCoupling FunctionHamiltonian Constraint |
| spellingShingle | Behzad Tajahmad Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions European Physical Journal C: Particles and Fields Dark Energy Scalar Field Deceleration Parameter Coupling Function Hamiltonian Constraint |
| title | Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions |
| title_full | Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions |
| title_fullStr | Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions |
| title_full_unstemmed | Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions |
| title_short | Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions |
| title_sort | noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions |
| topic | Dark Energy Scalar Field Deceleration Parameter Coupling Function Hamiltonian Constraint |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4790-0 |
| work_keys_str_mv | AT behzadtajahmad noethersymmetriesofamodifiedmodelinteleparallelgravityandanewapproachforexactsolutions |