Multipole Moments in General Relativity | Zendy

Y. Tanabe | Zendy

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Multipole Moments in General Relativity

Author(s) -

Y. Tanabe

Publication year - 1976

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.55.106

Subject(s) - multipole expansion , physics , spherical multipole moments , general relativity , classical mechanics , gravitation , theory of relativity , harmonic , inverse , mathematical physics , theoretical physics , fast multipole method , quantum mechanics , geometry , mathematics

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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