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The geodetic and frame-dragging effects are the direct consequences of thespacetime curvature near Earth which can be probed from the Gravity probe B(GP-B) satellite. The satellite result matches quite well with Einstein'sgeneral relativistic result. The gyroscope of the satellite which measures thespacetime curvature near Earth contains lots of electrons and nucleons.Ultralight axions, vector gauge bosons, and unparticles can interact with theseelectrons and nucleons through different spin-dependent and spin-independentoperators and change the drift rate of the gyroscope. Some of these ultralightparticles can either behave as a long range force between some dark sector orEarth and the gyroscope or they can behave as a background oscillating darkmatter fields or both. These ultralight particles can contribute an additionalprecession of the gyroscopes, limited to be no larger than the uncertainty inthe GP-B measurements. Compared with the experimental results, we obtain boundson different operator couplings.

Constraints on ultralight axions, vector gauge bosons, and unparticles from geodetic and frame-dragging measurements