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Corrections and comments on the multipole moments of axisymmetric electrovacuum spacetimes

Thomas P Sotiriou and Theocharis A Apostolatos

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Following the method of Hoenselaers and Perjés, 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.


PACS

04.20.-q Classical general relativity

04.70.-s Physics of black holes

02.40.-k Geometry, differential geometry, and topology

MSC

83C57 Black holes

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 24 (21 December 2004)

Received 5 October 2004

Published 22 November 2004



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