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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 con...

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Bibliographic Details
Published in:General relativity and gravitation 2022, Vol.54 (1), Article 15
Main Authors: Santos Costa Filho, Etevaldo dos, GuimarĂ£es, Angelo, Cabrera-Munguia, I.
Format: Article
Language:English
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Summary: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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-022-02903-w