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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2405.16031 |
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| _version_ | 1866917674766827520 |
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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 |