Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation

Details Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..737g&link_type=abstract

General Relativity and Gravitation, Volume 15, Issue 8, pp.737-754

Mathematics

24

Scientific paper

It is proved that the multipole moments of a stationary, asymptotically flat system in general relativity theory as defined by Thorne are identical, aside from normalization, to those defined by Geroch and Hansen: Here

is Thorne's mass moment of orderl,

is the Geroch-Hansen mass moment,

is Thorne's current moment of orderl, and

is Hansen's current moment. The mathematical techniques of Thorne are combined with those of Geroch and Hansen to prove several new theorems about multipole moments, and to give new proofs to some of the old theorems.

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