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Linearized dispersion relations in viscous relativistic hydrodynamics

Guillermo Perna
(
- Buenos Aires U.
)
,
Esteban Calzetta
(
- Buenos Aires U.
)

Aug 2, 2021

21 pages

Published in:

Phys.Rev.D 104 (2021) 9, 096005

Published: Nov 1, 2021

e-Print:

2108.01114 [hep-ph]

DOI:

10.1103/PhysRevD.104.096005 (publication)

View in:

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Abstract: (APS)

We compute the dispersion relations for scalar, vector and tensor modes of a viscous relativistic fluid, linearized around an equilibrium solution, for a divergence type theory (which, in the linearized theory, includes Israel-Stewart theory and anisotropic hydrodynamics as particular cases) and contrast them to the corresponding results derived from kinetic theory under the relaxation time approximation, and from causal first order theories. We conclude that all approaches give similar dynamics for the scalar and vector modes, while the particular divergence type theory presented here also contains propagating damped tensor waves, in agreement with kinetic theory. Nonhydrodynamic tensor modes are also a feature of holographic fluids. These results support the application of hydrodynamics in problems involving the interaction between fluids and gravitational waves.

Note:

21 pages, no figures. Accepted for publication in Phys. Rev. D

wave: tensor
hydrodynamics: relativistic
fluid: holography
hydrodynamics: anisotropy
fluid: relativistic
kinetic
viscosity
dispersion relation
causality
gravitational radiation

References(138)

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