Genesis with general relativity asymptotics in beyond Horndeski theory

We suggest a novel version of a cosmological Genesis model within beyond Horndeski theory. It combines the initial Genesis behavior of Creminelli et al. [P. Creminelli, A. Nicolis, and E. Trincherini, Galilean Genesis: An alternative to inflation, J. Cosmol. Astropart. Phys. 11 (2010) 021., P. Creminelli, K. Hinterbichler, J. Khoury, A. Nicolis, and E. Trincherini, Subluminal Galilean Genesis, J. High Energy Phys. 02 (2013) 006.] with the complete stability property of the previous beyond Horndeski construction [R. Kolevatov, S. Mironov, N. Sukhov, and V. Volkova, Cosmological bounce and Genesis beyond Horndeski, J. Cosmol. Astropart. Phys. 08 (2017) 038.]. The specific features of the model are that spacetime rapidly tends to Minkowski in the asymptotic past and that both the asymptotic past and future are described by general relativity (GR).