General properties of $\mathbf{f}(\mathbf{R})$ gravity vacuum solutions

Salvatore Capozziello, Carlo Alberto Mantica, Luca Guido Molinari

General properties of vacuum solutions of $f(R)$ gravity are obtained by the condition that the divergence of the Weyl tensor is zero and $f^{\prime \prime }\ne 0$. Specifically, a theorem state…