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In my doctoral thesis, I have focussed my attention on radiation processes inhigh-energy astrophysics connected with the accretion flow physics aroundcompact objects. Generally, a radiation field beside to exert an outwardradiation pressure, there is also the presence of a radiation drag force, whichboth can drastically change or even halt the motion of the surrounding matter.The radiation drag force, known as Poynting-Robertson effect, acts as adissipative force against the matter's orbital motion, removing veryefficiently angular momentum and energy from it. The thesis is organised inthree parts: (1) for ray-tracing purposes, I have developed a mathematicalmethod for deriving a set of high-accurate approximate polynomial formulae toeasily integrate photon geodesics in a Schwarzschild spacetime; (2) I gave twofundamental contributions in the field of the general relativistic treatment ofthe Poynting-Robertson effect (Lagrangian formulations and extension of themodel in three dimensions); (3) I reduced the data of three accretingmillisecond X-ray pulsars: IGR J00291+5934, IGR J18245-2452, and SAXJ1748.9-2021. This thesis offers innovative ideas in the field of radiationprocesses involving the Poynting-Robertson effect in high-energy astrophysics,opening thus up future interesting perspectives both in theoretical andobservational physics.

Coupling Poynting-Robertson Effect in Mass Accretion Flow Physics