Classical and quantum bicosmology with noncommutativity

Abstract Recently, Falomir, Gamboa, Méndez, Gondolo and Maldonado proposed a bicosmology scenario for solving some cosmological problems related to inflation, dark matter, thermal history of the Universe (Falomir et al (2017 Phys. Rev. D 96 083534); Falomir (2018 Lett. B 785 399); (2020 Symmetry 12 435); Méndez (2021 103 123505)) . Their plan is introduce noncommutativity into momentum space two scale factors. In present paper, we revisit their model first consider exact classical solutions in with constant between dynamical variables canonical momenta. We also hypothesize that appears when factors are small, show behavior solution case momentum-space noncommutativity. Finally, write down Wheeler–DeWitt equation examine solution.