Dynamics of Solutions of $f(R)$ Theory

Abstract

We 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 pages

References in corpus (5)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
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Cited by in corpus (1)

• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation