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.

Automated summary

In this paper, a general formulation of relativistic multipole moments in axistationary electrovac spacetimes is introduced in a closed analytical form. The Ernst potentials on the symmetry axis can be completely characterized by these arbitrary multipole moments, and some concrete applications are developed as well.