Adiabatic Media Inflation.

We study the dynamics of inflation driven by an adiabatic self-gravitating medium, extending the previous works on fluid and solid inflation. Such a class of media comprise perfect fluids, zero and finite temperature solids. By using an effective theory description, we compute the power spectrum for the scalar curvature perturbation $\zeta$ of constant energy density hypersurface and the comoving scalar curvature perturbation ${\cal R}$ in the case of slow-roll, super slow-roll and w-media inflation, an inflationary phase with $w$ constant and $-1 primordial black holes. In general the Weinberg theorem is violated; thus on super horizon scale neither $\zeta$ nor ${\cal R}$ are conserved and moreover $\zeta \neq {\cal R}$; reheating becomes crucial to predict the spectrum of primordial perturbations. We discuss in detail the physical consequence of such a violation.