  Arguments are made in favor of broadening the scope of the various approaches
to splitting spacetime into a single common framework in which measured
quantities, derivative operations, and adapted coordinate systems are clearly
understood in terms of associated test observer families. This ``relativity of
splitting formalisms" for fully nonlinear gravitational theory has been tagged
with the name "gravitoelectromagnetism" because of the well known analogy
between its linearization and electromagnetism, and it allows relationships
between the various approaches to be better understood and makes it easier to
extrapolate familiarity with one approach to the others. This is important
since particular problems or particular features of those problems in
gravitational theory are better suited to different approaches, and the present
barriers between the proponents of each individual approach sometimes prevent
the best match from occurring.
