Regular Article - Theoretical Physics
Noether symmetry approach in scalar-torsion gravity
Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
2 Institute of Space Sciences and Astronomy, University of Malta, MSD 2080, Msida, Malta
3 Department of Physics, University of Malta, Msida, Malta
Accepted: 30 June 2023
Published online: 14 July 2023
The Noether Symmetry approach is applied to study an extended teleparallel gravity that contains the torsion scalar T and the scalar field in the context of an Friedmann–Lemaître–Robertson–Walker space-time. We investigate the Noether symmetry approach in gravity formalism with the specific form of and analyze how to demonstrate a nontrivial Noether vector. The Noether symmetry method is a helpful resource for generating models and finding out the exact solution of the Lagrangian. In this article, we go through how the Noether symmetry approach enables us to define the form of the function and obtain exact cosmological solutions. We also find the analytical cosmological solutions to the field equations, that is consistent with the Noether symmetry. Our results demonstrate that the obtained solutions enable an accelerated expansion of the Universe. We have also obtained the present value of the Hubble parameter, deceleration parameter, and effective equation of state parameter, which is fit in the range of current cosmological observations.
© The Author(s) 2023
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