Multiscalar field models: Interaction potentials, wave functions and cosmological solutions

摘要

We consider a multiscalar tensor cosmology model described by Friedmann-Robertson-Walker (FRW) spacetime with zero spatial curvature. Three specific scalar interaction potentials that characterize the model are analyzed under a set of coordinate transformations. By implication, we solve for the wave function of the universe, reduce the dimension of the underlying Hamiltonian system and consequently, establish analytical solutions of the multiscalar model's field equations.