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The gravitational time delay in the field of a slowly moving body with arbitrary multipoles

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arxiv 1409.3743 v2 pith:ILVWPCCM submitted 2014-09-12 gr-qc

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keywords bodygravitationalmovingarbitrarydelayfieldmultipolesresults
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We calculate the time delay of light in the gravitational field of a slowly moving body with arbitrary multipoles (mass and spin multipole moments) by the Time-Transfer-Function (TTF) formalism. The parameters we use, first introduced by Kopeikin for a gravitational source at rest, make the integration of the TTF very elegant and simple. Results completely coincide with expressions from the literature. The results for a moving body (with constant velocity) with complete multipole-structure are new, according to our knowledge.

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  1. Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A unified 1PM formula gives the gravitational time delay of relativistic massive and massless particles by a radially moving Schwarzschild lens, matching known light and static limits.

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