  Cranked Relativistic Hartree-Bogoliubov (CRHB) theory is presented as an
extension of Relativistic Mean Field theory with pairing correlations to the
rotating frame. Pairing correlations are taken into account by a finite range
two-body force of Gogny type and approximate particle number projection is
performed by Lipkin-Nogami method. This theory is applied to the description of
yrast superdeformed rotational bands observed in even-even nuclei of the $A\sim
190$ mass region. Using the well established parameter sets NL1 for the
Lagrangian and D1S for the pairing force one obtains a very successful
description of data such as kinematic ($J^{(1)}$) and dynamic ($J^{(2)}$)
moments of inertia without any adjustment of new parameters. Within the present
experimental accuracy the calculated transition quadrupole moments $Q_t$ agree
reasonably well with the observed data.
