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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Solitons and singularities in relativistic ultrastiff fluids
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.