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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2509.06153 |
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| _version_ | 1866909956892000256 |
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| author | Duque, Erick I. |
| author_facet | Duque, Erick I. |
| contents | A systematic Hamiltonian formulation of the Einstein-Cartan system, based on the Hilbert-Palatini action with the Barbero-Immirzi and cosmological constants, is performed using the traditional ADM decomposition and without fixing the time gauge. This procedure results in a larger phase space compared to that of the Ashtekar-Barbero approach as well as a larger set of first-class constraints generating gauge transformations that are on-shell equivalent to spacetime diffeomorphisms and SO(1,3) transformations. The imbalance in the number of components between the tetrad and the connection is resolved by the identification of second-class constraints implied by the action, which can be implemented by use of Dirac brackets or by solving them directly. The Hamiltonian system remains well-defined off the second-class constraint surface in an extended phase space with additional degrees of freedom, implying a more general geometric theory. Implications for canonical quantum gravity are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06153 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian gravity in tetrad-connection variables Duque, Erick I. General Relativity and Quantum Cosmology A systematic Hamiltonian formulation of the Einstein-Cartan system, based on the Hilbert-Palatini action with the Barbero-Immirzi and cosmological constants, is performed using the traditional ADM decomposition and without fixing the time gauge. This procedure results in a larger phase space compared to that of the Ashtekar-Barbero approach as well as a larger set of first-class constraints generating gauge transformations that are on-shell equivalent to spacetime diffeomorphisms and SO(1,3) transformations. The imbalance in the number of components between the tetrad and the connection is resolved by the identification of second-class constraints implied by the action, which can be implemented by use of Dirac brackets or by solving them directly. The Hamiltonian system remains well-defined off the second-class constraint surface in an extended phase space with additional degrees of freedom, implying a more general geometric theory. Implications for canonical quantum gravity are discussed. |
| title | Hamiltonian gravity in tetrad-connection variables |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.06153 |