Cartan-like formulation of electric Carrollian gravity
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914821675417600 |
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| author | Pekar, Simon Pérez, Alfredo Salgado-Rebolledo, Patricio |
| author_facet | Pekar, Simon Pérez, Alfredo Salgado-Rebolledo, Patricio |
| contents | We present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different representation than the one obtained by gauging the Carroll algebra. Additionally, we show that this first-order action can be derived from a smooth Carrollian limit of the Einstein-Cartan action. The connection with the Hamiltonian and metric forms of the action for electric Carrollian gravity, as well as with previous works in the literature, is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cartan-like formulation of electric Carrollian gravity Pekar, Simon Pérez, Alfredo Salgado-Rebolledo, Patricio High Energy Physics - Theory General Relativity and Quantum Cosmology We present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different representation than the one obtained by gauging the Carroll algebra. Additionally, we show that this first-order action can be derived from a smooth Carrollian limit of the Einstein-Cartan action. The connection with the Hamiltonian and metric forms of the action for electric Carrollian gravity, as well as with previous works in the literature, is also discussed. |
| title | Cartan-like formulation of electric Carrollian gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.01665 |