New canonical analysis for consistent extension of $λR$ gravity
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916408265277440 |
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| author | Escalante, Alberto García, P. Fernando Ocaña |
| author_facet | Escalante, Alberto García, P. Fernando Ocaña |
| contents | The canonical analysis of the $λR$ model extended with the term due to Blas, Pujolas, and Sibiryakov $[BPS]$ is performed. The analysis is developed for any value of $λ$, but particular attention is paid to the point $λ=\frac{1}{3}$ because of the closeness with linearized General Relativity [GR]. Then, we add the higher-order conformal term, the so-called Cotton-square term, to study the constraint structure of what constitutes an example of kinetic-conformal Horava's gravity. At the conformal point, an extra second-class constraint appears; this does not arise at other values of $λ$. Then, the Dirac brackets are constructed, and we will observe that the $λR$-Cotton-square model shares the same number of degrees of freedom with linearized $GR$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New canonical analysis for consistent extension of $λR$ gravity Escalante, Alberto García, P. Fernando Ocaña General Relativity and Quantum Cosmology Mathematical Physics The canonical analysis of the $λR$ model extended with the term due to Blas, Pujolas, and Sibiryakov $[BPS]$ is performed. The analysis is developed for any value of $λ$, but particular attention is paid to the point $λ=\frac{1}{3}$ because of the closeness with linearized General Relativity [GR]. Then, we add the higher-order conformal term, the so-called Cotton-square term, to study the constraint structure of what constitutes an example of kinetic-conformal Horava's gravity. At the conformal point, an extra second-class constraint appears; this does not arise at other values of $λ$. Then, the Dirac brackets are constructed, and we will observe that the $λR$-Cotton-square model shares the same number of degrees of freedom with linearized $GR$. |
| title | New canonical analysis for consistent extension of $λR$ gravity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2409.11698 |