On-shell Homogeneous Curvature Modes in Quadratic $F(R,\mathcal G)$ Cosmology
5We study homogeneous cosmological perturbations in the quadratic model $F(R,\mathcal G)=R+\alpha R^2+\beta\mathcal G^2$. Linearization of the modified Friedmann equation together with dust conservation yields a second-order equation for the homogeneous Hubble perturbation, or equivalently a third-order equation for th...