Testing viable extensions of Einstein–Gauss–Bonnet gravity

Some models within the framework of Gauss–Bonnet gravities are considered in presence a non-minimally coupled scalar field. By imposing particular constraint on field coupling, class these theories called Einstein–Gauss–Bonnet gravity keeps correct speed propagation for gravitational waves. The cosmological evolution this viable is studied and compared with observational data (BAO, CMB, Sne Ia,..), where we obtain corresponding bounds show that such fit well provide well-behaved comparison to standard model cosmology. statistical parameters goodness fits slightly better than those ΛCDM model.