Lorentz group in gravity theories
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...
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Zusammenfassung: | 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. |
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DOI: | 10.48550/arxiv.2405.16031 |