the ADM massmcan be computedusing the curvature ofgas follows1: Consider(1.3)mI(r) =1(n−1)(2−n)ωn−1∫Sr(Ric−12Rgg)(X, νg)dσg,where Ric andRgare the Ricci tensor and the scalar curvature ofgrespectively,Xis the Euclidean conformal Killing vector fieldxi∂∂xi,νgis the unit outward normal anddσgis the area element onSrwithrespect tog.