Charged particle orbits in the field of two charges placed symmetrically near a schwarzschild black hole |
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| Authors: | V Chellathurai S V Dhurandhar N Dadhich |
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| Institution: | (1) Department of Mathematics, University of Poona, 411 007 Pune, India;(2) Department of Physics, University of Poona, 411 007 Pune, India;(3) Present address: Spicer Memorial College, 411 007 Pune, India |
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| Abstract: | From the Copson and Linet solution for the electrostatic field due to a point charge near a Schwarzschild black hole, we have
deduced the field due to two equal charges placed symmetrically (diametrically opposite) about the hole. It turns out that
the motion of a test-charged particle is completely solvable only in the equatorial plane, because theϑ-equation does not yield the first integral forϑ ≠π/2. We have however considered circular orbits about the axis forϑ=constant ≠π/2 by requiring bothϑ andr to remain fixed all through the motion. Forϑ ≠π/2 orbits, in contrast to the similar classical situation, there occur forbiddenϑ-ranges. This seems to be a relativistic effect. |
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| Keywords: | Black hole electrostatic field Penrose process charged-particle trajectories |
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