Corrections and Comments on the Multipole Moments of Axisymmetric Electrovacuum Spacetimes
Thomas P. Sotiriou, Theocharis A. Apostolatos
TL;DR
This paper revises and corrects the calculation of multipole moments for axisymmetric electrovacuum spacetimes, providing a consistent framework and applying it to the Kerr-Newman black hole.
Contribution
It introduces a corrected, dimensionally consistent method for computing multipole moments and applies it to Kerr-Newman black holes.
Findings
Corrected multipole moments for axisymmetric electrovacuum spacetimes.
Explicit multipole moments for Kerr-Newman black holes.
Enhanced consistency in multipole moment calculations.
Abstract
Following the method of Hoenselaers and Perj\'{e}s we present a new corrected and dimensionally consistent set of multipole gravitational and electromagnetic moments for stationary axisymmetric spacetimes. Furthermore, we use our results to compute the multipole moments, both gravitational and electromagnetic, of a Kerr-Newman black hole.
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