Dispersion relations of relativistic radiation hydrodynamics
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909460028456960 |
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| author | Gavassino, Lorenzo |
| author_facet | Gavassino, Lorenzo |
| contents | We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic ''matter+radiation'' fluids with grey absorption opacities. This is done by solving radiation hydrodynamics perturbatively in the ratio ''radiation stress-energy''/''matter stress-energy''. The resulting expressions $ω\, {=} \, ω(k)$ accurately describe the hydrodynamic evolution for any $k\, {\in}\, \mathbb{R}$. General features of the dynamics (e.g., covariant stability, propagation speeds, and damping of discontinuities) are argued directly from the analytic form of these dispersion relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00275 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dispersion relations of relativistic radiation hydrodynamics Gavassino, Lorenzo High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology Nuclear Theory We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic ''matter+radiation'' fluids with grey absorption opacities. This is done by solving radiation hydrodynamics perturbatively in the ratio ''radiation stress-energy''/''matter stress-energy''. The resulting expressions $ω\, {=} \, ω(k)$ accurately describe the hydrodynamic evolution for any $k\, {\in}\, \mathbb{R}$. General features of the dynamics (e.g., covariant stability, propagation speeds, and damping of discontinuities) are argued directly from the analytic form of these dispersion relations. |
| title | Dispersion relations of relativistic radiation hydrodynamics |
| topic | High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology Nuclear Theory |
| url | https://arxiv.org/abs/2412.00275 |