发表机构
Université Côte d’Azur, OCA, CNRS, Lagrange（蔚蓝海岸大学，OCA，CNRS，拉格朗日）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文重访纠缠相对论框架，将其嵌入更广理论集合，通过标量-张量重构和内禀解耦条件，提出满足条件的理想流体拉格朗日量，并指出其作为广义相对论替代方案的潜力，但需重新审视守恒律与观测数据关联。
AI 中文摘要
本文重新审视了纠缠相对论理论框架，并将其嵌入一个更大的理论集合中。根据它们的标量-张量重构，这些理论允许广义相对论的时空解作为具有相同物质内容的解，前提是该物质满足“内禀解耦”条件。研究表明，满足此条件的物质拉格朗日量集合完全由其依赖于度规张量的方式所刻画。随后，本文证明了可以定义一个在1PN阶内满足内禀解耦条件的理想流体拉格朗日量。针对弱场球对称恒星的具体应用表明，纠缠相对论及其提出的推广是广义相对论的有价值替代方案。事实上，所得到的爱丁顿参数的数值突然满足了已知的观测约束。然而，该理论与守恒定律的非严格一致性要求重新考虑观测数据与参数之间的联系，以便最终澄清这一点。
英文摘要
One revisits the Entangled Relativity theory framework, embedding it in a larger set of theories. From their scalar-tensor reformulation, these theories admit General Relativity spacetime solutions as solutions with the same matter content, if this matter obeys an "intrinsic decoupling" condition. One shows that a set of matter Lagrangians satisfying this condition is completely characterized by the way they depend on the metric tensor. One then shows that it is possible to define a perfect fluid Lagrangian fulfilling the intrinsic decoupling condition up to 1PN order. Specifying to weak field spherical stars suggests that Entangled Relativity and its proposed generalization are worthy alternatives to General Relativity. Indeed, the obtained numerical values of the Eddington parameters abruptly satisfy the known observational constraints. However, the non strict compliance of the theory with conservation laws demands to reconsider the link between observational data and the parameters for a definitive clarification of this point.
