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PreprintCC BY 4.0HAL

Revisiting the Entangled Relativity gravity framework

  • Bertrand Chauvineau
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{chauvineau2026revisiting,
  title = {{Revisiting the Entangled Relativity gravity framework}},
  author = {Bertrand Chauvineau},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21764},
  eprint = {2609.21764},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05781662v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Revisiting the Entangled Relativity gravity framework
AU  - Bertrand Chauvineau
PY  - 2026
DA  - 2026/09/18
PB  - HAL
DO  - 10.48550/arxiv.2609.21764
UR  - https://hal.science/hal-05781662v1
AB  - 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.
ER  -