Regular Article - Theoretical Physics

Oddity in nonrelativistic, strong gravity

¹ Physics Department, Boğaziçi University, 34342, Bebek/Istanbul, Turkey
² Institute for Theoretical Physics, KU Leuven, 3001, Leuven, Belgium

^* e-mail: dieter.van@boun.edu.tr

Received: 19 February 2020
Accepted: 1 June 2020
Published online: 22 June 2020

Abstract

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.