Abstract. Linearizing the cosmological equation of state around the current epoch p = p0 + κ0 (ρ− ρ0) +O[(p− p0)2], is the simplest model one can consider that does not make any a priori restrictions on the nature of the cosmological fluid. Most popular cosmological models attempt to be “predictive”, in the sense that once some a priori equation of state is chosen the Friedmann equations are us...