Dispersion relations of relativistic radiation hydrodynamics
arXiv:2412.00275 · doi:10.1007/s10509-025-04395-x
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 accurately describe the hydrodynamic evolution for any . 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.
17 pages, 2 captioned figures, comments welcome!
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