Three-dimensional general relativistic Poynting-Robertson effect. IV. Slowly rotating and nonspherical quadrupolar massive source

We consider a further extension of our previous works in the treatment three-dimensional general relativistic Poynting-Robertson effect, which describes motion test particle around compact object as affected by radiation field originating from rigidly rotating and spherical emitting source, produces pressure, opposite to gravitational pull, drag force, removes energy angular momentum particle. The source is modeled non-spherical slowly endowed with mass quadrupole moment an it formally described Hartle-Thorne metric. derive particle's equations two-dimensional cases. then investigate properties critical hypersurfces (regions, where balance between forces established). Finally, we show how this model can be applied treat phenomena occurring vicinity neutron star.