We investigate the time-asymptotically nonlinear stability of rarefaction waves to the Cauchy prob-lem of a one-dimensional compressible Navier-Stokes type system for a viscous,compressible,radiative and reactive gas,where the constitutive relations for the pressure p,the specific internal energy e,the specific vol-ume v,the absolute temperature θ,and the specific entropy s are given by p =Rθ/v + aθ4/3,e =Cvθ + avθ4,and s =Cv lnθ + 4avθ3/3 + Rlnv with R ＞ 0,Cv ＞ 0 and a ＞ 0 being the perfect gas constant,the specific heat and the radiation constant,respectively.For such a specific gas motion,a somewhat surprising fact is that,generally speaking,the pressure (p)(v,s) is not a convex function of the specific volume v and the specific entropy s.Even so,we show in this paper that the rarefaction waves are time-asymptotically stable for large initial perturbation provided that the radiation constant a and the strength of the rarefaction waves are suffi-ciently small.The key point in our analysis is to deduce the positive lower and upper bounds on the specific volume and the absolute temperature,which are uniform with respect to the space and the time variables,but are independent of the radiation constant a.