Explicit multipole moments of stationary axisymmetric spacetimes

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dc.creatorBackdahl, Thomas
dc.creatorHerberthson, Magnus
dc.date2005-06-16
dc.date2005-06-23
dc.date.accessioned2026-07-07T03:29:47Z
dc.date.available2026-07-07T03:29:47Z
dc.descriptionIn this article we study multipole moments of axisymmetric stationary asymptotically flat spacetimes. We show how the tensorial recursion of Geroch and Hansen can be reduced to a recursion of scalar functions. We also demonstrate how a careful choice of conformal factor collects all moments into one complex valued function on R, where the moments appear as the derivatives at 0. As an application, we calculate the moments of the Kerr solution. We also discuss the freedom in choosing the potential for the moments.
dc.description11 pages; added references for section 6 and 7
dc.identifierhttps://arxiv.org/abs/gr-qc/0506086
dc.identifierhttp://arxiv.org/abs/gr-qc/0506086
dc.identifierClass.Quant.Grav. 22 (2005) 3585-3594
dc.identifierdoi:10.1088/0264-9381/22/17/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35314
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleExplicit multipole moments of stationary axisymmetric spacetimes
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