Projective transformations in metric-affine and Weylian geometries
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911763589496832 |
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| author | Sauro, Dario Martini, Riccardo Zanusso, Omar |
| author_facet | Sauro, Dario Martini, Riccardo Zanusso, Omar |
| contents | We discuss generalizations of the notions of projective transformations acting on affine model of Riemann-Cartan and Riemann-Cartan-Weyl gravity which preserve the projective structure of the light-cones. We show how the invariance under some projective transformations can be used to recast a Riemann-Cartan-Weyl geometry either as a model in which the role of the Weyl gauge potential is played by the torsion vector, which we call torsion-gauging, or as a model with traditional Weyl (conformal) invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_10872 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Projective transformations in metric-affine and Weylian geometries Sauro, Dario Martini, Riccardo Zanusso, Omar High Energy Physics - Theory General Relativity and Quantum Cosmology We discuss generalizations of the notions of projective transformations acting on affine model of Riemann-Cartan and Riemann-Cartan-Weyl gravity which preserve the projective structure of the light-cones. We show how the invariance under some projective transformations can be used to recast a Riemann-Cartan-Weyl geometry either as a model in which the role of the Weyl gauge potential is played by the torsion vector, which we call torsion-gauging, or as a model with traditional Weyl (conformal) invariance. |
| title | Projective transformations in metric-affine and Weylian geometries |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2208.10872 |