The relations between the multipole moments in axistationary electrovacuum spacetimes and the $N$-soliton solution

Abstract

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.

27 pages

References in corpus (6)

• On the interaction between two Kerr black holes
• Relating Follicly-Challenged Compact Stars to Bald Black Holes
• Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes
• Calculation of multipole moments of axistationary electrovacuum spacetimes
• Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes. II
• Corotating dyonic binary black holes

Cited by in corpus (1)

• An Approximate Kerr-Newman-like Metric Endowed with a Magnetic Dipole and Mass Quadrupole