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Circular orbits and collisions of particles with magnetic dipole moment near magnetized Kerr black holes in modified gravity

Saeed Ullah KhanCollege of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, ChinaUktamjon UktamovInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, UzbekistanJavlon RayimbaevSamarkand State University, University Avenue 15, 140104, Samarkand, UzbekistanAhmadjon AbdujabbarovNational University of Uzbekistan, 100174, Tashkent, UzbekistanInomjon IbragimovDepartment of Physics, Kimyo International University in Tashkent, Usman Nasir Str. 156, 100121, Tashkent, UzbekistanZhi‐Min ChenCollege of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, China
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Abstract Throughout this work, we explored the dynamics of test particles with magnetic dipole moment around magnetized rotating Kerr black holes in scalar–vector–tensor gravity theory (STVG), known as modified gravity theory (MOG). We assume that the black hole is immersed in external asymptotically uniform magnetic fields. We derive effective potential for circular orbits of the magnetized particles, taking into account both the magnetic and STVG interactions. We study profiles of the position of the innermost stable circular orbits (ISCOs) of the magnetized particles. We show that the MOG interaction is essentially, and the magnetic interaction enhances its effects on the ISCO radius and the angular momentum at ISCO. Also, we consider collisional cases of magnetized particles and the maximum and minimum limits of angular momentum that ensure the particle colliding near the horizon. Finally, we analyze the center-of-mass energy of colliding magnetized particles near the black hole horizon.

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