  The global time in Geometrodynamics is defined in a covariant under
diffeomorphisms form. An arbitrary static background metric is taken in the
tangent space. The global intrinsic time is identified with the mean value of
the logarithm of the square root of the ratio of the metric determinants. The
procedures of the Hamiltonian reduction and deparametrization of dynamical
systems are implemented. The explored Hamiltonian system appeared to be
non-conservative. The Hamiltonian equations of motion of gravitational field in
the global time are written. Relations between different time intervals
(coordinate, intrinsic, proper) are obtained.
