Circular orbits and polarized images of charged particles orbiting Kerr black hole with a weak magnetic field

In this work, we study circular motions of charged particles and their polarized images around the Kerr black hole immersed in a weak magnetic field. We pay special attention to the case that both the magnetic field and the charge-to-mass ratio are not big, thus the effective potential along the rad...

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Bibliographic Details
Published in:arXiv.org 2023-06
Main Authors: Tsai-Chen, Lee, Hu, Zezhou, Guo, Minyong, Chen, Bin
Format: Article
Language:English
Subjects:
Angular momentum
Charged particles
Circular orbits
Magnetic fields
Orbital stability
Polarization
Retrograde orbits
Synchrotrons
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Summary:In this work, we study circular motions of charged particles and their polarized images around the Kerr black hole immersed in a weak magnetic field. We pay special attention to the case that both the magnetic field and the charge-to-mass ratio are not big, thus the effective potential along the radial motion reduce to a cubic form approximately so that we can express the radius of the innermost stable circular orbit analytically in terms of the energy and angular momentum of charged particles. Moreover, we computed the polarized synchrotron radiations of these particles and obtained the polarized images semi-analytically for various spins, observational angles and prograde and retrograde orbits. In particular, We find that these parameters have significant impacts on the polarization rotation and the magnitude of the polarization flux.
ISSN:2331-8422
DOI:10.48550/arxiv.2211.04143