  Model of Riemann-Cartan gravity with varying signature of metric is
considered. The basic dynamical variables of the formalism are vierbein, spin
connection, and an internal metric in the tangent space. The corresponding
action contains new terms, which depend on these fields. In general case the
signature of the metric is determined dynamically. The Minkowski signature is
preferred dynamically because the configurations with the other signatures are
dynamically suppressed. We also discuss briefly the motion of particles in the
background of the modified black hole configuration, in which inside the
horizon the signature is that of Euclidean space - time.
