Dynamics of Solutions of $f(R)$ Theory

Details Dynamics of Solutions of $f(R)$ Theory Dynamics of Solutions of $f(R)$ Theory

2008-10-20

arxiv.org/abs/0810.3558v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages

Scientific paper

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.

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