Fodor, Gyula;
Costa Filho, Etevaldo dos Santos;
Hartmann, Betti;
(2021)
Calculation of multipole moments of axistationary electrovacuum spacetimes.
Physical Review D
, 104
(6)
, Article 064012. 10.1103/PhysRevD.104.064012.
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Abstract
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 Bäckdahl 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.
| Type: | Article |
|---|---|
| Title: | Calculation of multipole moments of axistationary electrovacuum spacetimes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevD.104.064012 |
| Publisher version: | https://doi.org/10.1103/PhysRevD.104.064012 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10194532 |
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