  We investigate Casimir effect as well as thermal Casimir effect for a pair of
parallel perfectly plates placed in general stationary space-time background.
It is found that the Casimir energy is influenced by the 00-component of metric
and the corresponding quantity in dragging frame. We give a scheme to
renormalize thermal correction to free energy in curved space-time. It is shown
that the thermal corrections to Casimir thermodynamic quantities not only
depend on the proper temperature and proper geometrical parameters of the
plates, but also on the determinant of space-time metric.
