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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 a 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, roč.~101, č.~12, s.~''124031-1''-''124031-16'', 16 s. ISSN~1550-7998. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.101.124031.
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