4.3 Article

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

Journal

GENERAL RELATIVITY AND GRAVITATION
Volume 54, Issue 1, Pages -

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-022-02903-w

Keywords

Multipole moments; Axistationary spacetimes; N-Soliton solution; Electrovacuum systems

Funding

  1. CoordenacAo de Aperfeicoamento de Pessoal de Nivel Superior-Brasil (CAPES) [001]
  2. SNI-CONACyT, Mexico [173252]

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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.
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.

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