Abstract
Following the approach of optical reference geometry we derive the expression for the total force in the radial direction acting on a charged particle in magnetic fields superimposed on the static Schwarzschild background and show the possible existence of bound orbits for particles in the field of ultra compact objects at distancesr⩽3m wherein the Lorentz force counterbalances both the gravitational and centrifugal forces.
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References
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Prasanna, A.R., Iyer, S. The radial force on a charged particle in superimposed magnetic fields on Schwarzschild spacetime. Pramana - J Phys 37, 405–412 (1991). https://doi.org/10.1007/BF02848508
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DOI: https://doi.org/10.1007/BF02848508