Static gravitational multipoles — The connection between field and source in general relativity

Details Static gravitational multipoles — The connection between field and source in general relativity Static gravitational multipoles — The connection between field and source in general relativity

Dec 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971gregr...2..331c&link_type=abstract

General Relativity and Gravitation, Volume 2, Issue 4, pp.331-345

Physics

10

Scientific paper

Multipole moments have already been defined in general relativity independently for both field and source, but owing to the non-linearity of the theory these two concepts have not hitherto been related. Recently Sciama, Waylen and Gilman have found a pseudo-linear integral representation of Einstein's field equations. This representation is here used to find a relation between the multipole moments of field and source in the static case. The technique is to expand the Green's function of the representation in a series of eigenfunctions of an associated linear differential operator.

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