Multiscalar-torsion cosmology: exact and analytic solutions from noether symmetries
Dialektopoulos K. Leon G. Paliathanasis A.
March 2023Institute for Ionics
European Physical Journal C
2023#83Issue 3
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.
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Department of Physics, Nazarbayev University, 53 Kabanbay Batyr avenue, Astana, 010000, Kazakhstan
Laboratory of Physics, Faculty of Engineering, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece
Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta, Chile
Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban, 4000, South Africa
Department of Physics
Laboratory of Physics
Departamento de Matemáticas
Institute of Systems Science
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