Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries

TL;DR

This paper explores a scalar-tensor teleparallel gravity model with boundary terms, deriving explicit couplings and potentials via Noether symmetries, leading to cosmological solutions that explain late-time cosmic acceleration.

Contribution

It introduces a novel approach using Noether symmetries to determine couplings and potentials in scalar-tensor teleparallel gravity with boundary terms.

Findings

Derived explicit forms of couplings and potentials.

Obtained cosmological solutions consistent with accelerated expansion.

Discussed the physical implications of these solutions.

Abstract

In the framework of teleparallel gravity, the Friedman-Robertson-Walker cosmological model with scalar tensor theory where scalar field is non-minimally coupled to both the torsion scalar and boundary term is studied. Utilizing the Noether symmetry approach in such a theory, we obtain the explicit forms of the couplings and potential as a function the scalar field. We present some important cosmological solutions for the modified field equations using these functions getting via the Noether symmetry approach. Finally, the interesting cosmological properties of these solutions are discussed in detail, and it is shown that they can describe a universe lead to the late time accelerating expansion.