In this dissertation, we review the Sibgatullin method, discuss its construction and application in the case of N-Solitons interest in time space in the vacuum. Having made this discussion, we introduce the relationship between multipole moments in general relativity and the solutions of the coupled Einstein-Maxwell system of equations. We were able to generalize well known results in the literature.There was also a brief discussion about the multipolar moments and even more, we corrected a canonical result in the literature.