“…(5) has been solved by perturbations, yielding the full analytic solution h k (η), from the inflation up to the present accelerating stage [14,19], and it has been found that the relativistic freestreaming gas causes a damping of h k by ∼ 20% in the frequency range ν ≃ (10 −16 , 10 −10 )Hz. The RGWs can generate the CMB temperature and polarization anisotropies power spectra C XX ′ ℓ (XX ′ = T T, T E, EE, BB), by the Sachs-Wolfe effect [13,14,24,25,26,27,28,29,30,31,32]. As shown in Ref [14], the mode functions h k (η d ) andḣ k (η d ) at the photon decoupling time η d , i.e.…”