Ingeneralrelativity,theequationofmotionofthespinisgivenbytheequationofparalleltransport,whichisaresultofthespace-timegeometry.Anyresultofthespace-timegeometrycannotbedirectlyappliedtogaugetheoryofgravity.Ingaugetheoryofgravity,basedontheviewpointofthecouplingbetweenthespinandgravitationalfield,anequationofmotionofthespinisdeduced.InthepostNewtonianapproximation,itisprovedthatthisequationgivesthesameresultasthatoftheequationofparalleltransport.So,inthepostNewtonianapproximation,gaugetheoryofgravitygivesoutthesamepredictionontheprecessionoforbitinggyroscopeasthatofgeneralrelativity.
