  We present a new geometric approach to the study of static isolated general
relativistic systems for which we suggest the name geometrostatics. After
describing the setup, we introduce localized formulas for the ADM-mass and
ADM/CMC-center of mass of geometrostatic systems. We then explain the
pseudo-Newtonian character of these formulas and show that they converge to
Newtonian mass and center of mass in the Newtonian limit, respectively, using
Ehlers' frame theory. Moreover, we present a novel physical interpretation of
the level sets of the canonical lapse function and apply it to prove uniqueness
results. Finally, we suggest a notion of force on test particles in
geometrostatic space-times.
