Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912544816365568 |
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| author | Faraji, Alireza Molaee, Zahra Shirzad, Ahmad |
| author_facet | Faraji, Alireza Molaee, Zahra Shirzad, Ahmad |
| contents | General relativity contains 16 variables in the framework of ADM-Vielbein formalism which are 6 more than metric formalism. These variables emerge due to additional symmetry of Local Lorentz Transformations. In the framework of the Hamiltonian approach, it is expected to find first class constraints which generate this gauge symmetry. We introduce the complete form of such constraints and show that they exactly obey the algebra of the Lorentz group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00128 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity Faraji, Alireza Molaee, Zahra Shirzad, Ahmad General Relativity and Quantum Cosmology High Energy Physics - Theory General relativity contains 16 variables in the framework of ADM-Vielbein formalism which are 6 more than metric formalism. These variables emerge due to additional symmetry of Local Lorentz Transformations. In the framework of the Hamiltonian approach, it is expected to find first class constraints which generate this gauge symmetry. We introduce the complete form of such constraints and show that they exactly obey the algebra of the Lorentz group. |
| title | Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.00128 |