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Title: Multipole analysis for electromagnetism and linearized gravity with irreducible Cartesian tensors
Authors: Damour, Thibault
Iyer, B.R.
Issue Date: 15-May-1991
Publisher: The American Physical Society
Citation: Physical Review D, 1991, Vol.43, 3259-3272
Abstract: The relativistic time-dependent multipole expansion for electromagnetism and linearized gravity in the region outside a spatially compact source has been obtained directly using the formalism of irreducible Cartesian (i.e., symmetric trace-free) tensors. In the electromagnetic case, our results confirm the validity of the results obtained earlier by Campbell, Macek, and Morgan using the Debye potential formalism. However, in the more complicated linearized gravity case, the greater algebraic transparence of the Cartesian multipole approach has allowed us to obtain, for the first time, fully correct closed-form expressions for the time-dependent mass and spin multipole moments (the results of Campbell et al. for the mass moments turning out to be incorrect). The first two terms in the slow-motion expansion of the gravitational moments are explicitly calculated and shown to be equivalent to earlier results by Thorne and by Blanchet and Damour.
ISSN: 1550-7998 (print)
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Copyright: (1991) by the American Physical Society
Appears in Collections:Research Papers (TP)

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