Solar system constraints on $f(\mathcal{G})$ gravity models

We discuss solar system constraints on $f(\mathcal{G})$ gravity models, where $f$ is a function of the Gauss-Bonnet term $\mathcal{G}$. We focus on cosmologically viable $f(\mathcal{G})$ models that can be responsible for late-time cosmic acceleration. These models generally give rise to corrections of the form $ϵ(r/r_s{)}^p$ to the vacuum Schwarzschild solution, where $\epsilon =H_{*}^2{r}_s^2\ll 1$, $r_s$ is the Schwarzschild radius of the Sun, and $H_{*}$ is the Hubble parameter today. We generally estimate the strength of modifications to general relativity in order to confront models with a number of experiments, such as the deflection of light and the perihelion shift. We show that cosmologically viable $f(\mathcal{G})$ models can be consistent with solar system constraints for a wide range of model parameters.