Teleparallel Newton--Cartan gravity
General Relativity and Quantum Cosmology
2023-04-25 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We discuss a teleparallel version of Newton--Cartan gravity. This theory arises as a formal large-speed-of-light limit of the teleparallel equivalent of general relativity (TEGR). Thus, it provides a geometric formulation of the Newtonian limit of TEGR, similar to standard Newton--Cartan gravity being the Newtonian limit of general relativity. We show how by a certain gauge-fixing the standard formulation of Newtonian gravity can be recovered.
Keywords
Cite
@article{arxiv.2211.11796,
title = {Teleparallel Newton--Cartan gravity},
author = {Philip K. Schwartz},
journal= {arXiv preprint arXiv:2211.11796},
year = {2023}
}
Comments
28+4+1 pages (main text, references, appendix), published in Classical and Quantum Gravity. v2: extended discussions, added references, corrected typos. v3: corrected typo