Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914849191100416 |
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| author | Disconzi, Marcelo M. Isenberg, James Maxwell, David |
| author_facet | Disconzi, Marcelo M. Isenberg, James Maxwell, David |
| contents | We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct application of the conformal method does not lead to a decoupling of the equations, even for constant-mean curvature initial data. We combine the conformal method applied to a background perfect fluid theory with a perturbative argument in order to obtain the result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17945 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity Disconzi, Marcelo M. Isenberg, James Maxwell, David General Relativity and Quantum Cosmology Analysis of PDEs Nuclear Theory We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct application of the conformal method does not lead to a decoupling of the equations, even for constant-mean curvature initial data. We combine the conformal method applied to a background perfect fluid theory with a perturbative argument in order to obtain the result. |
| title | Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs Nuclear Theory |
| url | https://arxiv.org/abs/2406.17945 |