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@article{49383, author = {De Falco, Vittorio and Bakala, Pavel and Falanga, Maurizio}, article_location = {US - Spojené státy americké}, article_number = {12}, doi = {http://dx.doi.org/10.1103/PhysRevD.101.124031}, keywords = {NO-HAIR THEOREM; CENTRIFUGAL FORCES; NEUTRON-STARS; FIELD; GEODESICS; EQUATIONS}, language = {eng}, issn = {1550-7998}, journal = {Physical Review D}, title = {Three-dimensional general relativistic Poynting-Robertson effect. III. Static and nonspherical quadrupolar massive source}, url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.124031}, volume = {101}, year = {2020} }
TY - JOUR ID - 49383 AU - De Falco, Vittorio - Bakala, Pavel - Falanga, Maurizio PY - 2020 TI - Three-dimensional general relativistic Poynting-Robertson effect. III. Static and nonspherical quadrupolar massive source JF - Physical Review D VL - 101 IS - 12 SP - "124031-1"-"124031-16" EP - "124031-1"-"124031-16" SN - 15507998 KW - NO-HAIR THEOREM KW - CENTRIFUGAL FORCES KW - NEUTRON-STARS KW - FIELD KW - GEODESICS KW - EQUATIONS UR - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.124031 N2 - We investigate the three-dimensional (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 Erez-Rosen metric, and a radiation field, including the general relativistic Poynting-Robertson (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 two-dimensional (2D) description, and the weak-field 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. ER -
DE FALCO, Vittorio, Pavel BAKALA and Maurizio FALANGA. Three-dimensional general relativistic Poynting-Robertson effect. III. Static and nonspherical quadrupolar massive source. \textit{Physical Review D}. US - Spojené státy americké, 2020, vol.~101, No~12, p.~''124031-1''-''124031-16'', 16 pp. ISSN~1550-7998. Available from: https://dx.doi.org/10.1103/PhysRevD.101.124031.
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