An overview of f(R) theories
arXiv:1107.5183
Abstract
A brief introduction to theories of the gravitational field with a Lagrangian that is a function of the scalar curvature is given. The emphasis will be placed in formal developments, while comparison to observation will be discussed in the chapter by S. Jorás in this volume.
Talk given at the XIV Brazilian School of Cosmology and Gravitation (2010), included in the proceedings to be published by Cambridge U. Press, references added