The exact solutions construction in cosmology based on Horndeski gravity

The method of generating the exact cosmological solutions for the Horndeski gravity from ones for Einstein gravity is proposed in this work. These solutions are generalized in the sense of matching the some gravity theories which are General Relativity, scalar-tensor gravity, Einstein-Gauss-Bonnet gravity and generalized scalar-tensor gravity involving the coupling of a scalar field with Ricci scalar and with Gauss-Bonnet scalar as well.