Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries

TL;DR

This paper employs Noether symmetry analysis in a multi-scalar teleparallel gravity model to derive exact solutions, constraining potentials and revealing conserved quantities in multiscalar-torsion cosmology.

Contribution

It introduces a method to determine potential functions and exact solutions in multiscalar-torsion cosmology using Noether symmetries, expanding analytical tools in teleparallel gravity.

Findings

Derived specific potential forms compatible with symmetries

Obtained exact analytic solutions for scalar field evolution

Identified conserved quantities via Noether symmetries

Abstract

The Noether symmetry analysis is applied in a multi-scalar 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 constraint 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.