Belinchón, José AntonioJosé AntonioBelinchónDávila, PedroPedroDávila2026-10-192026-10-192017-07Belinchón, José Antonio; Dávila, Pedro (2017-07). Exact solutions for a scalar-tensor theory through symmetries. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 14 (7), 1750104. https://doi.org/10.1142/s02198878175010430219-88781793-6977https://hdl.handle.net/20.500.12740/25299In this paper, we study how to determine the unknown functions for the scalar tensor model f(R, phi) where the Ricci scalar is allowed to appear in a nonlinear way. The methods followed to determine these functions are: the matter collineation approach, the Lie group method and the Lagrangian collineation approach. We find several exact analytical solutions for a cosmological model with a FRW metric. We determine that some of the results are also valid for some anisotropic metric (e.g. the self-similar ones).enScalar tensor theoriesexact solutionsymmetriesArticulohttps://doi.org/10.1142/s0219887817501043