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We derive spin-orbit coupling effects on the gravitational field andequations of motion of compact binaries in the 2.5 post-Newtonian approximationto general relativity, one PN order beyond where spin effects first appear. Ourmethod is based on that of Blanchet, Faye, and Ponsot, who use a post-Newtonianmetric valid for general (continuous) fluids and represent pointlike compactobjects with a delta-function stress-energy tensor, regularizing divergentterms by taking the Hadamard finite part. To obtain post-Newtonian spineffects, we use a different delta-function stress-energy tensor introduced byBailey and Israel. In a future paper we will use the 2.5PN equations of motionfor spinning bodies to derive the gravitational-wave luminosity and phaseevolution of binary inspirals, which will be useful in constructing matchedfilters for signal analysis. The gravitational field derived here may help inposing initial data for numerical evolutions of binary black hole mergers.Comment: 18 pages, no figur

Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order