J 2020

Three-dimensional general relativistic Poynting-Robertson effect. III. Static and nonspherical quadrupolar massive source

DE FALCO, Vittorio, Pavel BAKALA and Maurizio FALANGA

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19630/20:A0000022

Organization unit

Institute of physics in Opava

UT WoS

000540166200010

Keywords in English

NO-HAIR THEOREM; CENTRIFUGAL FORCES; NEUTRON-STARS; FIELD; GEODESICS; EQUATIONS

Tags

International impact, Reviewed

Links

GA17-16287S, research and development project.
Změněno: 13/9/2022 08:56, Mgr. Pavlína Jalůvková

Abstract

V originále

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.