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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2505.01631 |
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| _version_ | 1866916766818500608 |
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| author | Mendoza, Sergio Silva, Sarahí |
| author_facet | Mendoza, Sergio Silva, Sarahí |
| contents | It has been established in the literature that the matter Lagrangian of an ideal fluid can be expressed either as its total energy density or as its pressure. In this work, we demonstrate that identifying the matter Lagrangian with the pressure leads to physical inconsistencies, which are resolved when the fluid is coupled to the gravitational field. In such a scenario, the matter Lagrangian necessarily assumes the value of the total energy density. We thus conclude that, for an ideal fluid, the only physically consistent choice for the matter Lagrangian is its total energy density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The hidden truth of ideal relativistic fluids: the matter Lagrangian is its total energy density, not its pressure! Mendoza, Sergio Silva, Sarahí General Relativity and Quantum Cosmology It has been established in the literature that the matter Lagrangian of an ideal fluid can be expressed either as its total energy density or as its pressure. In this work, we demonstrate that identifying the matter Lagrangian with the pressure leads to physical inconsistencies, which are resolved when the fluid is coupled to the gravitational field. In such a scenario, the matter Lagrangian necessarily assumes the value of the total energy density. We thus conclude that, for an ideal fluid, the only physically consistent choice for the matter Lagrangian is its total energy density. |
| title | The hidden truth of ideal relativistic fluids: the matter Lagrangian is its total energy density, not its pressure! |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.01631 |