https://doi.org/10.1140/epjc/s10052-017-4790-0
Regular Article - Theoretical Physics
Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions
Faculty of Physics, University of Tabriz, Tabriz, Iran
* e-mail: behzadtajahmad@yahoo.com
Received:
4
January
2017
Accepted:
25
March
2017
Published online:
3
April
2017
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.
© The Author(s), 2017
