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Motivated by the picture of a thin accretion disc around a black hole,radiating mainly in the direction perpendicular to its plane, we study themotion of test particles interacting with a test geodesic radiation fluxoriginating in the equatorial plane of a Schwarzschild space-time andpropagating initially in the perpendicular direction. We assume that theinteraction with the test particles is modelled by an effective termcorresponding to the Thomson-type interaction which governs thePoynting-Robertson effect. After approximating the individual photontrajectories adequately, we solve the continuity equation approximately inorder to find a consistent flux density with a certain plausible prescribedequatorial profile. The combined effects of gravity and radiation areillustrated in several typical figures which confirm that the particles aregenerically strongly influenced by the flux. In particular, they are bothcollimated and accelerated in the direction perpendicular to the disc, but thisacceleration is not enough to explain highly relativistic outflows emanatingfrom some black hole-disc sources. The model can however be improved in anumber of ways before posing further questions which are summarized inconcluding remarks.

Particles under radiation thrust in Schwarzschild space-time from a flux perpendicular to the equatorial plane