2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171952We use the correspondence between the $f(R)$ theory and an Einstein-scalar field system to study late-time dynamics of solutions of $f(R)$ theory. We discuss how reasonable assumptions on the potential of the scalar field lead to restrictions on the function $f(R)$ and use known results for the scalar field system to gain results on solutions of the $f(R)$ theory. In particular, we prove accelerated expansion at late times for several different categories of functions $f(R)$ that satisfy certain restrictions.34 pagesGeneral Relativity and Quantum Cosmologytext