Implications of extreme flatness in a general f(R) theory

Michal Artymowski, Zygmunt Lalak, Marek Lewicki

We discuss a modified gravity theory defined by $f(R)={\sum }_n^l{\alpha }_n{M}^{2(1-n)}{R}^n$. We consider both finite and infinite number of terms in the series while requiring that th…