2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/180279We consider the general asymptotic expression of stationary space-time. Using Killing equation, we reduce the dynamical freedom of Einstein equation to the in-going gravitational wave $Ψ_0$. The general form of this function can be got. With the help of asymptotically algebraic special condition, we prove that all Newman-Penrose constants vanish.12 pages. accepted by Class. Quant. GravGeneral Relativity and Quantum Cosmologytext