https://doi.org/10.1140/epjc/s10052-023-11374-5
Regular Article - Theoretical Physics
Multiscalar-torsion cosmology: exact and analytic solutions from noether symmetries
1
Department of Physics, Nazarbayev University, 53 Kabanbay Batyr avenue, 010000, Astana, Kazakhstan
2
Laboratory of Physics, Faculty of Engineering, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece
3
Departamento de Matemáticas, Universidad Católica del Norte, Casilla 1280, Avda. Angamos 0610, Antofagasta, Chile
4
Institute of Systems Science, Durban University of Technology, PO Box 1334, 4000, Durban, South Africa
Received:
25
January
2023
Accepted:
28
February
2023
Published online:
16
March
2023
The Noether symmetry analysis is applied in a multiscalar field cosmological model in teleparallel gravity. In particular, we consider two scalar fields with interaction in scalar-torsion theory. The field equations have a minisuperspace description, and the evolution of the physical variables depends on the potential function that drives the scalar fields’ dynamics. With the requirement for the field equations to admit non-trivial Noether point symmetries and the use of the first theorem of Noether, we constrain all the functional forms for the potential. Finally, we apply symmetry vectors and the corresponding conservation laws to determine exact and analytic solutions in multiscalar-torsion cosmology.
© 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.