Implication of GW170817 for Cosmological Bounces

The detection of GW170817 and its electromagnetic counterpart has revealed the speed of gravitational waves coincides with the speed of light, $c_{T}=1$. Inspired by the possibility that the physics implied by GW170817 might be related with that for the primordial universe, we construct the spatially flat stable (throughout the whole evolution) nonsingular bounce models in the beyond Horndeski theory with $c_{T}=1$ and in the degenerate higher-order scalar-tensor (DHOST) theory with $c_{T}=1$, respectively. Though it constricts the space of viable models, the constraint of $c_{T}=1$ makes the procedure of building models simpler.