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

Abstract

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

11 pages, 4 figures; accepted on Phys. Rev. D (31/03/2021)

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Cited by in corpus (4)

• Exploring departures from Schwarzschild black hole in $f(R)$ gravity
• Slowly-rotating compact objects: the nonintegrability of Hartle-Thorne particle geodesics
• Timescales of the chaos onset in the general relativistic Poynting-Robertson effect
• Particle motion around luminous neutron stars: effects of deviation from Schwarzschild spacetime