Splitting techniques on timelike congruences in GR yield local Minkowski descriptions, with Newtonian gravity arising as an effect of non-geodesic reference frame paths.
Poisson, A relativist’s toolkit: the mathematics of black-hole mech anics (Cambridge univer- sity press, 2004)
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Physics is simple only when analyzed locally
Splitting techniques on timelike congruences in GR yield local Minkowski descriptions, with Newtonian gravity arising as an effect of non-geodesic reference frame paths.