Calculation of multipole moments of axistationary electrovacuum spacetimes

Autor:	Gyula Fodor, Etevaldo dos Santos Costa Filho, Betti Hartmann
Rok vydání:	2021
Předmět:	Physics Power series General Relativity and Quantum Cosmology Generalization FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) COSMOLOGIA Multipole expansion Axial symmetry Mathematical physics
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
ISSN:	2470-0029 2470-0010
DOI:	10.1103/physrevd.104.064012
Popis:	The multipole moments of stationary axially symmetric vacuum or electrovacuum spacetimes can be expressed in terms of the power series expansion coefficients of the Ernst potential on the axis. In this paper we present a simpler, more efficient calculation of the multipole moments, applying methods introduced by B\"ackdahl and Herberthson. For the non-vacuum electromagnetic case, our results for the octupole and higher moments differ from the results already published in the literature. The reason for this difference is that we correct an earlier unnoticed mistake in the power series solution of the Ernst equations. We also apply the presented method to directly calculate the multipole moments of a 5-parameter charged magnetized generalization of the Kerr and Tomimatsu-Sato exact solutions. Comment: 44 pages. Two Mathematica and two equivalent Maple programs are provided as ancillary files
Databáze:	OpenAIRE
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