English

Lorentz group in gravity theories

General Relativity and Quantum Cosmology 2024-05-28 v1

Abstract

In this paper, it is argued that in gravity theories the local Lorentz group can not be considered as a gauge group in the sense of Yang-Mills theories, the Lorentz connection is not a gauge potential but an artificial force, the inertial force. A genuine gravity theory should be a translation gauge theory, though a unnormal gauge theory. All the three theories of the Geometrical Trinity of Gravity are translation gauge theories. A real gravity theory should get rid of "gauging" Lorentz group. The covariantization of the teleparallel gravity is not necessary physically.

Keywords

Cite

@article{arxiv.2405.16031,
  title  = {Lorentz group in gravity theories},
  author = {Jianbo Lu and Yongxin Guo and G. Y. Chee},
  journal= {arXiv preprint arXiv:2405.16031},
  year   = {2024}
}

Comments

35 pages

R2 v1 2026-06-28T16:39:48.925Z