  We present a model of spontaneous (or dynamical) C and CP violation where it
is possible to generate domains of matter and antimatter separated by
cosmologically large distances. Such C(CP) violation existed only in the early
universe and later it disappeared with the only trace of generated baryonic
and/or antibaryonic domains. So the problem of domain walls in this model does
not exist. These features are achieved through a postulated form of interaction
between inflaton and a new scalar field, realizing short time C(CP) violation.
