Threedimensional general relativistic PoyntingRobertson effect. III. Static and nonspherical quadrupolar massive source
Abstract
We investigate the threedimensional (3D) motion of a test particle in the gravitational field generated by a nonspherical compact object endowed with a mass quadrupole moment, described by the ErezRosen metric, and a radiation field, including the general relativistic PoyntingRobertson (PR) effect, coming from a rigidly rotating spherical emitting source located outside of the compact object. We derive the equations of motion for test particles influenced by such radiation field, recovering the twodimensional (2D) description, and the weakfield approximation. This dynamical system admits the existence of a critical hypersurface, region where gravitational and radiation forces balance. Selected test particle orbits for different set of input parameters are displayed. The possible configurations on the critical hypersurfaces can be either latitudinal drift toward the equatorial ring or suspended orbits. We discuss about the existence of multiple hypersurface solutions through a simple method to perform the calculations. We graphically prove also that the critical hypersurfaces are stable configurations within the Lyapunov theory.
 Publication:

Physical Review D
 Pub Date:
 June 2020
 DOI:
 10.1103/PhysRevD.101.124031
 arXiv:
 arXiv:2006.01452
 Bibcode:
 2020PhRvD.101l4031D
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 16 pages, 11 figures. Paper accepted on the 2nd of June 2020 on Phys. Rev. D