Dispersion relations of relativistic radiation hydrodynamics
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 resul...
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| Published in | Astrophysics and space science Vol. 370; no. 1; p. 4 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Netherlands
01.01.2025
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0004-640X 1572-946X |
| DOI | 10.1007/s10509-025-04395-x |
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| Abstract | 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
∈
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. |
|---|---|
| AbstractList | 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
$\omega \, {=} \, \omega (k)$
ω
=
ω
(
k
)
accurately describe the hydrodynamic evolution for any
$k\, {\in }\, \mathbb{R}$
k
∈
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. 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∈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. 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 ∈ 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. |
| ArticleNumber | 4 |
| Author | Gavassino, Lorenzo |
| Author_xml | – sequence: 1 givenname: Lorenzo surname: Gavassino fullname: Gavassino, Lorenzo organization: Department of Mathematics, Vanderbilt University |
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| Snippet | We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic “matter+radiation” fluids with grey absorption... |
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| SubjectTerms | Astrobiology Astronomy Astrophysics Astrophysics and Astroparticles Cosmology Damping Dispersion Energy Equilibrium Flow velocity Fluid mechanics Heat Heat waves Hydrodynamics Observations and Techniques Physics Physics and Astronomy Radiation Radiation absorption Relativistic effects Sound transmission Sound waves Space Exploration and Astronautics Space Sciences (including Extraterrestrial Physics Theory of relativity |
| Title | Dispersion relations of relativistic radiation hydrodynamics |
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