https://doi.org/10.1140/epjc/s10052-023-11792-5
Regular Article - Theoretical Physics
Noether symmetry approach in scalar-torsion 
gravity
1
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
b
bivu@hyderabad.bits-pilani.ac.in
Received:
26
December
2022
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
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
