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[en] We consider the presence of odd powers of the speed of light c in the covariant nonrelativistic expansion of General Relativity (GR). The term of order c in the relativistic metric is a vector potential that contributes at leading order in this expansion and describes strong gravitational effects outside the (post-)Newtonian regime. The nonrelativistic theory of the leading order potentials contains the full non-linear dynamics of the stationary sector of GR.
Journal
European Physical Journal. C, Particles and Fields (Online); ISSN 1434-6052; 
; CODEN EPCFFB; v. 80(6); p. 1-16
; CODEN EPCFFB; v. 80(6); p. 1-16