Quiet barotropic fluids are nonlinearly stable on decelerating FLRW spacetimes exactly for K < 1 - 2/(3α), with dust and radiation shown to shock for α ≤ 1/2 and α ≤ 1, respectively.
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Stability of fluids in spacetimes with decelerated expansion
Quiet barotropic fluids are nonlinearly stable on decelerating FLRW spacetimes exactly for K < 1 - 2/(3α), with dust and radiation shown to shock for α ≤ 1/2 and α ≤ 1, respectively.