Fake signals caused by heavy-mass motions near a sensitive spherical gravitational wave antenna

In this paper we analyse in quantitative detail the effect of a moving mass on a spherical gravitational wave detector. This applies to situations where heavy traffic or similar disturbances occur near the GW antenna. Such disturbances result in quadrupole tidal stresses in the antenna mass, and they therefore precisely fake a real gravitational signal. The study shows that there are always characteristic frequencies, depending on the motion of the external masses, at which the fake signals are most intense. It however appears that, even at those frequencies, fake signals should be orders of magnitude below the sensitivity curve of an optimized detector, in likely realistic situations