10-plectic formulation of gravity and Cartan connections
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911362628714496 |
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| author | Vey, Dimitri |
| author_facet | Vey, Dimitri |
| contents | We give a Hamiltonian formulation of %the first order Weyl--Einstein--Cartan gravity which is covariant from the viewpoint of the geometry of the principal fiber bundle. The connection is represented by a $1$-form with values in the Poincaré Lie algebra, which is defined on the total space of the orthonormal frame bundle fibered over the space-time. Within the $10$-plectic framework we discover that the local equivariance property of the Cartan connection is a consequence of the Hamilton equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05409 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 10-plectic formulation of gravity and Cartan connections Vey, Dimitri Mathematical Physics General Relativity and Quantum Cosmology 49S05, 53C80, 53C05, 83E15 We give a Hamiltonian formulation of %the first order Weyl--Einstein--Cartan gravity which is covariant from the viewpoint of the geometry of the principal fiber bundle. The connection is represented by a $1$-form with values in the Poincaré Lie algebra, which is defined on the total space of the orthonormal frame bundle fibered over the space-time. Within the $10$-plectic framework we discover that the local equivariance property of the Cartan connection is a consequence of the Hamilton equations. |
| title | 10-plectic formulation of gravity and Cartan connections |
| topic | Mathematical Physics General Relativity and Quantum Cosmology 49S05, 53C80, 53C05, 83E15 |
| url | https://arxiv.org/abs/2601.05409 |