Multipolar radiation reaction in general relativity

Details Multipolar radiation reaction in general relativity Multipolar radiation reaction in general relativity

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phla..104...82b&link_type=abstract

Physics Letters (ISSN 0375-9601), vol. 104A, Aug. 13, 1984, p. 82-86.

Physics

18

Gravitational Waves, Multipolar Fields, Relativity, Stellar Gravitation, Stellar Motions, Asymptotic Methods, Binary Stars, Field Theory (Physics), Nonlinear Equations, Pulsars, Quadrupoles, Secular Variations

Scientific paper

It is pointed out that several previous derivations of quadrupolar radiation reaction based on 'matched asymptotic expansions' were incomplete because of the lack of consideration of nonlinear effects in the exterior gravitational field. Using a post-Minkowskian algorithm together with multipolar expansions it is shown how to take into account the nonlinear effects. An explicit expression is derived for the radiation reaction force density, when the first radiating multipoles are of order 1 equal to or greater than 2. When l is equal to 2, the Burke-Thorne reaction potential is recovered.

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