An impediment to torsion from spectral geometry
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913636028514304 |
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| author | Bochniak, Arkadiusz Dąbrowski, Ludwik Sitarz, Andrzej Zalecki, Paweł |
| author_facet | Bochniak, Arkadiusz Dąbrowski, Ludwik Sitarz, Andrzej Zalecki, Paweł |
| contents | Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in physically acceptable gravity models. In this Letter, we provide an argument based on spectral geometry (using methods of pseudo-differential calculus) that suggests that the torsion shall be excluded from the consideration. We demonstrate that there is no well-defined functional extending to the torsion-full case of the spectral formulation of the Einstein tensor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An impediment to torsion from spectral geometry Bochniak, Arkadiusz Dąbrowski, Ludwik Sitarz, Andrzej Zalecki, Paweł General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Differential Geometry 58J50, 58B34, 83C65 Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in physically acceptable gravity models. In this Letter, we provide an argument based on spectral geometry (using methods of pseudo-differential calculus) that suggests that the torsion shall be excluded from the consideration. We demonstrate that there is no well-defined functional extending to the torsion-full case of the spectral formulation of the Einstein tensor. |
| title | An impediment to torsion from spectral geometry |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Differential Geometry 58J50, 58B34, 83C65 |
| url | https://arxiv.org/abs/2412.19626 |