  We study the linear post-Newtonian approximation to general relativity known
as gravitoelectromagnetism (GEM); in particular, we examine the similarities
and differences between GEM and electrodynamics. Notwithstanding some
significant differences between them, we find that a special nonstationary
metric in GEM can be employed to show {\it explicitly} that it is possible to
introduce gravitational induction within GEM in close analogy with Faraday's
law of induction and Lenz's law in electrodynamics. Some of the physical
implications of gravitational induction are briefly discussed.

General Relativity and Quantum Cosmology;Astrophysics