Future global stability for relativistic perfect fluids with linear equations of state $p=K\rho$ where $1\mathrm{/}3<K<1\mathrm{/}2$

We establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the relativistic Euler equations with a linear equation of state $p=K\rho$ on exponentially expanding FLRW spacetimes for the equation of state parameter values $1\mathrm{/}3<K<1\mathrm{/}2$.