2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50461We consider the existence of a Noether symmetry in the scalar-tensor theory of gravity in flat Friedman Robertson Walker (FRW) cosmology. The forms of coupling function $ω(ϕ)$ and generic potential $V(ϕ)$ are obtained by requiring the existence of a Noether symmetry for such theory. We derive exact cosmological solutions of the field equations from a point-like Lagrangian.7 pagesHigh Energy Physics - TheoryExact Solutions for Cosmological Models with a Scalar Fieldtext