Year: 2010
Type: article
Abstract: Several different explicit reconstructions of $f(R)$ gravity are obtained from the background Friedmann-La\^{\i}matre-Robertson-Walker expansion history. It is shown that the only theory whose Lagrangian is a simple function of the Ricci scalar $R$, that admits an exact $\ensuremath{\Lambda}\mathrm{CDM}$ expansion history, is standard general relativity with a positive cosmological constant and the only way to obtain this behavior of the scale factor for more general functions of $R$ is to add additional degrees of freedom to the matter sector.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2115174776
