Lorentz group in gravity theories

Fuente: arXiv
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Main Authors: Lu, Jianbo, Guo, Yongxin, Chee, G. Y.
Format: Preprint
Published: 2024
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author Lu, Jianbo
Guo, Yongxin
Chee, G. Y.
author_facet Lu, Jianbo
Guo, Yongxin
Chee, G. Y.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16031
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lorentz group in gravity theories
Lu, Jianbo
Guo, Yongxin
Chee, G. Y.
General Relativity and Quantum Cosmology
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.
title Lorentz group in gravity theories
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2405.16031