Deviations from the von Laue condition inside a particle are bounded by its outer energy fraction, so fluid on-shell Lagrangians are nearly equal to the stress-tensor trace except at extreme densities.
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Deviations from the von Laue condition: Implications for the on-shell Lagrangian of particles and fluids
Deviations from the von Laue condition inside a particle are bounded by its outer energy fraction, so fluid on-shell Lagrangians are nearly equal to the stress-tensor trace except at extreme densities.