  We briefly review the current status of nonlocal gravity (NLG), which is a
classical nonlocal generalization of Einstein's theory of gravitation based on
a certain analogy with the nonlocal electrodynamics of media. Nonlocal gravity
thus involves integro-differential field equations and a causal constitutive
kernel that should ultimately be determined from observational data. We
consider the stationary gravitational field of an isolated rotating
astronomical source in the linear approximation of nonlocal gravity. In this
weak-field and slow-motion approximation of NLG, we describe the
gravitomagnetic field associated with the rotating source and compare our
results with gravitoelectromagnetism (GEM) of the standard general relativity
theory. Moreover, we briefly study the energy-momentum content of the GEM field
in nonlocal gravity.
