DE FALCO, Vittorio, Pavel BAKALA and Maurizio FALANGA. Three-dimensional general relativistic Poynting-Robertson effect. III. Static and nonspherical quadrupolar massive source. 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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Basic information
Original name Three-dimensional general relativistic Poynting-Robertson effect. III. Static and nonspherical quadrupolar massive source
Authors DE FALCO, Vittorio (380 Italy), Pavel BAKALA (203 Czech Republic, belonging to the institution) and Maurizio FALANGA (756 Switzerland).
Edition Physical Review D, US - Spojené státy americké, 2020, 1550-7998.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/20:A0000022
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1103/PhysRevD.101.124031
UT WoS 000540166200010
Keywords in English NO-HAIR THEOREM; CENTRIFUGAL FORCES; NEUTRON-STARS; FIELD; GEODESICS; EQUATIONS
Tags FÚ, FÚ2020, GA17-16287S, RIV21, SGS13-2019
Tags International impact, Reviewed
Links GA17-16287S, research and development project.
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 13/9/2022 08:56.
Abstract
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.
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