English

Bi-connected Gravity Fields

General Relativity and Quantum Cosmology 2016-07-14 v1

Abstract

I describe a bi-connection formalism of General relativity based on the dual role of the Weitzenb\"{o}ck connection defining the parallelism at a distance and the concomitant Levi-Civita connection derived from the Riemannian metric. A more explicit tensor writing of the geodesic and loxodromic equations clarifies their joint meaning.

Cite

@article{arxiv.1607.03797,
  title  = {Bi-connected Gravity Fields},
  author = {Lluís Bel},
  journal= {arXiv preprint arXiv:1607.03797},
  year   = {2016}
}