On magnetic-field-induced corrections to the orbital and epicyclic frequencies: paper II. Slowly ...

@article{42118,
   author = {Bakala, Pavel and Stuchlík, Zdeněk and Šrámková, Eva and Török, Gabriel and Urbanec, Martin},
   article_location = {GB - Spojené království Velké Británie a},
   article_number = {6},
   doi = {http://dx.doi.org/10.1088/0264-9381/29/6/065012},
   keywords = {Quasi-periodicoscillations; X-ray binaries; Integrated relativistic tori; Charged black-holes},
   language = {eng},
   issn = {0264-9381},
   journal = {Classical and Quantum Gravity},
   title = {On magnetic-field-induced corrections to the orbital and epicyclic frequencies: paper II. Slowly rotating magnetized neutron stars},
   url = {https://iopscience.iop.org/article/10.1088/0264-9381/29/6/065012/pdf},
   volume = {29},
   year = {2012}
}

TY  - JOUR
ID  - 42118
AU  - Bakala, Pavel - Stuchlík, Zdeněk - Šrámková, Eva - Török, Gabriel - Urbanec, Martin
PY  - 2012
TI  - On magnetic-field-induced corrections to the orbital and epicyclic frequencies: paper II. Slowly rotating magnetized neutron stars
JF  - Classical and Quantum Gravity
VL  - 29
IS  - 6
SN  - 02649381
KW  - Quasi-periodicoscillations
KW  - X-ray binaries
KW  - Integrated relativistic tori
KW  - Charged black-holes
UR  - https://iopscience.iop.org/article/10.1088/0264-9381/29/6/065012/pdf
N2  - We study non-geodesic corrections to the quasicircular motion of charged test particles in the field of magnetized slowly rotating neutron stars. The gravitational field is approximated by the Lense-Thirring geometry, and the magnetic field is of the standard dipole character. Using a fully relativistic approach, we determine the influence of the electromagnetic interaction (both attractive and repulsive) on the quasicircular motion. We focus on the behaviour of the orbital and epicyclic frequencies ofthe motion. Components of the four-velocity of the orbiting charged test particles are obtained by the numerical solution of equations of motion, and the epicyclic frequencies are obtained by using the standard perturbative method. The role of the combined effect of the neutron star magnetic field and its rotation in the character of the orbital and epicyclic frequencies is discussed. It is demonstrated that even in the Lense-Thirring spacetime, particles being static relative to distant
ER  - 

BAKALA, Pavel, Zdeněk STUCHLÍK, Eva ŠRÁMKOVÁ, Gabriel TÖRÖK and Martin URBANEC. On magnetic-field-induced corrections to the orbital and epicyclic frequencies: paper II. Slowly rotating magnetized neutron stars. \textit{Classical and Quantum Gravity}. GB - Spojené království Velké Británie a, 2012, vol.~29, No~6, 21 pp. ISSN~0264-9381. Available from: https://dx.doi.org/10.1088/0264-9381/29/6/065012.