Paper detail

About the propagation of the Gravitational Waves in an asymptotically de-Sitter space: Comparing two points of view

We analyze the propagation of gravitational waves (GWs) in an asymptotically de-Sitter space by expanding the perturbation around Minkowski and introducing the effects of the Cosmological Constant ($Λ$), first as an additional source (de-Donder gauge) and after as a gauge effect ($Λ$-gauge). In both cases the inclusion of the Cosmological Constant $Λ$ impedes the detection of a gravitational wave at a distance larger than $L_{crit}=(6\sqrt{2}πf \hat{h}/\sqrt{5})r_Λ^2$, where $r_Λ=\frac{1}{\sqrtΛ}$ and f and $\hat{h}$ are the frequency and strain of the wave respectively. We demonstrate that $L_{crit}$ is just a confirmation of the Cosmic No hair Conjecture (CNC) already explained in the literature.