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Hydrodynamics as sound-speed approaches light-speed

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arxiv 2404.01968 v2 pith:PU5ZS5NQ submitted 2024-04-02 hep-ph

classification hep-ph
keywords hydrodynamicsshearspeedalwaysappearsapproachesarbitrarilycases
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I present the simplest 3+1 dimensional quantum field theory for which the speed of sound can be arbitrarily close to the speed of light. Examining the hydrodynamics, I find cases where the shear viscosity is finite, but the "shear relaxation coefficient" appears always to be divergently large.

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  1. Solitons and singularities in relativistic ultrastiff fluids

    gr-qc 2025-04 conditional novelty 6.0 of 10

    Ultrastiff fluids (P=ε) are exactly dual to linear scalar fields, which makes all planar sound waves perfect solitons and forces compact blobs in 3+1 dimensions to develop a lightcone-exiting singularity in finite time.

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