  Gravitomagnetic charge that can also be referred to as the {\it dual mass} or
{\it magnetic mass} is the topological charge in gravity theory. A
gravitomagnetic monopole at rest can produce a stationary gravitomagnetic
field. Due to the topological nature of gravitomagnetic charge, the metric of
spacetime where the gravitomagnetic matter is present will be nonanalytic. In
this paper both the dual curvature tensors (which can characterize the dynamics
of gravitational charge/monopoles) and the antisymmetric gravitational field
equation of gravitomagnetic matter are presented. We consider and discuss the
mathematical formulation and physical properties of the dual curvature tensors
and scalar, antisymmetric source tensors, dual spin connection (including the
low-motion weak-field approximation), dual vierbein field as well as dual
current densities of gravitomagnetic charge. It is shown that the dynamics of
gravitomagnetic charge can be founded within the framework of the above dual
quantities. In addition, the dual relationship between the dynamical theories
of gravitomagnetic charge (dual mass) and gravitoelectric charge (mass) is also
taken into account in the present paper.
