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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2506.15209 |
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| _version_ | 1866911426485944320 |
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| author | Minazzoli, Olivier Wavasseur, Maxime Chehab, Thomas |
| author_facet | Minazzoli, Olivier Wavasseur, Maxime Chehab, Thomas |
| contents | Entangled Relativity is a non-linear reformulation of Einstein's theory that cannot be defined in the absence of matter fields. It recovers General Relativity without a cosmological constant in the weak matter density limit or whenever $\Lm = T$ on-shell, and it is also more parsimonious in terms of fundamental constants and units. In this paper, we show that Entangled Relativity can be derived from a general $f(R,\Lm)$ theory by imposing a single requirement: the theory must admit all solutions of General Relativity without a cosmological constant whenever $\Lm = T \neq 0$ on-shell, though not necessarily only those solutions. An important consequence is that all vacuum solutions of General Relativity without a cosmological constant are limits of solutions of Entangled Relativity when the matter fields tend to zero. In addition, we introduce a broader class of theories featuring an \textit{intrinsic decoupling}, which, however, do not generally admit the solutions of General Relativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deriving Entangled Relativity Minazzoli, Olivier Wavasseur, Maxime Chehab, Thomas General Relativity and Quantum Cosmology Entangled Relativity is a non-linear reformulation of Einstein's theory that cannot be defined in the absence of matter fields. It recovers General Relativity without a cosmological constant in the weak matter density limit or whenever $\Lm = T$ on-shell, and it is also more parsimonious in terms of fundamental constants and units. In this paper, we show that Entangled Relativity can be derived from a general $f(R,\Lm)$ theory by imposing a single requirement: the theory must admit all solutions of General Relativity without a cosmological constant whenever $\Lm = T \neq 0$ on-shell, though not necessarily only those solutions. An important consequence is that all vacuum solutions of General Relativity without a cosmological constant are limits of solutions of Entangled Relativity when the matter fields tend to zero. In addition, we introduce a broader class of theories featuring an \textit{intrinsic decoupling}, which, however, do not generally admit the solutions of General Relativity. |
| title | Deriving Entangled Relativity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.15209 |