The relations between the multipole moments in axistationary electrovacuum spacetimes and the $N$-soliton solution
A general formulation of the relativistic multipole moments in axistationary electrovac spacetimes is introduced in a closed analytical form. We give a complete description of how the Ernst potentials on the symmetry axis can be completely characterized by these arbitrary multipole moments. Some concrete applications are also developed.
gr-qc↗