Calculation of multipole moments of axistationary electrovacuum spacetimes

Autor(es)

Fodor, Gyula ^[1] ; Costa Filho, Etevaldo dos Santos ^[2] ; Hartmann, Betti ^{[3, 4, 2]}

Afiliação do(s) autor(es)

^[1] Wigner Res Ctr Phys, 114, POB 49, H-1525 Budapest - Hungary

^[2] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo, SP - Brazil

^[3] Carl von Ossietzky Univ Oldenburg, Inst Phys, D-26111 Oldenburg - Germany

^[4] Jacobs Univ Bremen, Dept Phys & Earth Sci, D-28759 Bremen - Germany

• Tipo de documento: Artigo Científico
• Fonte: Physical Review D; v. 104, n. 6 SEP 7 2021.
• Citações Web of Science: 0

Resumo

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 Backdahl and Herberthson. For the nonvacuum 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 five-parameter charged magnetized generalization of the Kerr and Tomimatsu-Sato exact solutions. (AU)

• Processo FAPESP: 19/01511-5 - Buracos negros e solitons em modelos generalizados de gravidade escalar-tensorial
• Beneficiário: Betti Hartmann
• Modalidade de apoio: Auxílio à Pesquisa - Regular