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