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The motion of a test particle in the gravitational field of a non-sphericalsource endowed with both mass and mass quadrupole moment is investigated when atest radiation field is also present. The background is described by theErez-Rosen solution, which is a static spacetime belonging to the Weyl class ofsolutions to the vacuum Einstein's field equations, and reduces to the familiarSchwarzschild solution when the quadrupole parameter vanishes. The radiationflux has a fixed but arbitrary (non-zero) angular momentum. The interactionwith the radiation field is assumed to be Thomson-like, i.e., the particlesabsorb and re-emit radiation, thus suffering for a friction-like drag force.Such an additional force is responsible for the Poynting-Robertson effect,which is well established in the framework of Newtonian gravity and has beenrecently extended to the general theory of relativity. The balance betweengravitational attraction, centrifugal force and radiation drag leads to theoccurrence of equilibrium circular orbits which are attractors for thesurrounding matter for every fixed value of the interaction strength. Thepresence of the quadrupolar structure of the source introduces a further degreeof freedom: there exists a whole family of equilibrium orbits parametrized bythe quadrupole parameter, generalizing previous works. This scenario isexpected to play a role in the context of accretion matter around compactobjects.

Radiation drag in the field of a non-spherical source