Gravitational waves under the effect of a positive Cosmological Constant Lambda has been a long time puzzle. To date, the full wave solution is still under construction, while attempts have been made to solve the linearized equations. We present a detailed derivative of the linearized Einstein's Equations in a covariant manner, then solve for a lowest order perturbation in Lambda. Results suggest that the Cosmological Constant has a large contribution to the phase of gravitational waves, which might be detectable. |