English

Oddity in nonrelativistic, strong gravity

General Relativity and Quantum Cosmology 2020-07-15 v2 High Energy Physics - Theory

Abstract

We consider the presence of odd powers of the speed of light cc in the covariant nonrelativistic expansion of General Relativity (GR). The term of order cc 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.

Keywords

Cite

@article{arxiv.2002.02688,
  title  = {Oddity in nonrelativistic, strong gravity},
  author = {Mert Ergen and Efe Hamamci and Dieter Van den Bleeken},
  journal= {arXiv preprint arXiv:2002.02688},
  year   = {2020}
}

Comments

24 pages + appendices. Version accepted for publication by EPJC. Subsection 4.4 on possible phenomenological applications added

R2 v1 2026-06-23T13:34:01.510Z