Can the diffeomorphism and Gauss constraints be holonomy corrected in the deformed algebra approach to modified gravity?
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908830856642560 |
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| author | Thézier, Jamy-Jayme Barrau, Aurélien Martineau, Killian De Sousa, Maxime |
| author_facet | Thézier, Jamy-Jayme Barrau, Aurélien Martineau, Killian De Sousa, Maxime |
| contents | Deforming the algebra of constraint is a well-known approach to effective loop quantum cosmology. More generally, it is a consistent way to modify gravity from the Hamiltonian perspective. In this framework, the Hamiltonian (scalar) constraint is usually the only one to be holonomy corrected. As a heuristic hypothesis, we consider the possibility to also correct the diffeomorphism and Gauss constraints. It is shown that it is impossible to correct the diffeomorphism constraint without correcting the Gauss one, while maintaining a first-class algebra. However, if all constraints are corrected, the algebra can be closed. The resulting differential equations to be fulfilled by the corrections (of the background and of the perturbations) are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Can the diffeomorphism and Gauss constraints be holonomy corrected in the deformed algebra approach to modified gravity? Thézier, Jamy-Jayme Barrau, Aurélien Martineau, Killian De Sousa, Maxime General Relativity and Quantum Cosmology Deforming the algebra of constraint is a well-known approach to effective loop quantum cosmology. More generally, it is a consistent way to modify gravity from the Hamiltonian perspective. In this framework, the Hamiltonian (scalar) constraint is usually the only one to be holonomy corrected. As a heuristic hypothesis, we consider the possibility to also correct the diffeomorphism and Gauss constraints. It is shown that it is impossible to correct the diffeomorphism constraint without correcting the Gauss one, while maintaining a first-class algebra. However, if all constraints are corrected, the algebra can be closed. The resulting differential equations to be fulfilled by the corrections (of the background and of the perturbations) are derived. |
| title | Can the diffeomorphism and Gauss constraints be holonomy corrected in the deformed algebra approach to modified gravity? |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.23194 |