Multipole Moments in General Relativity

Details Multipole Moments in General Relativity Multipole Moments in General Relativity

Jan 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976pthph..55..106t&link_type=abstract

Progress of Theoretical Physics, Vol. 55, No. 1, pp. 106-114

Physics

1

Scientific paper

Multipole moments in general relativity are defined as coefficients of a multipole expansion of appropriate potentials, as they are so in Newton's theory of gravitation. The essential point is the introduction of Fock's harmonic coordinate system in which the potentials are expanded in inverse powers of the distance from the source. First several moments are obtained for the Kerr, Tomimatsu-Sato and a class of the Weyl solutions of the Einstein equation, and then are inferred all moments for the Kerr and Weyl solutions.

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