Abstract
The article is aimed to explore trajectories of charged particles moving under the effect of Lorentz force of Killing magnetic fields (i.e., closed 2-forms corresponding to Killing vector fields) in 3D pp-waves. First, we obtain magnetic trajectories in trivial magnetic background which are nothing but the geodesics of 3D pp-waves. Next, we characterize Killing vector fields and hence explore associated Killing magnetic trajectories in 3D pp-waves. In particular, we explicitly determine Killing magnetic trajectories in 3D Cahen–Wallach space and provide some pictorial examples.
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Acknowledgements
I owe a deep sense of gratitude to Dr. Joydeep Sengupta (Aliah University, India) and Prof. Subenoy Chakraborty (Jadavpur University, India) for helping me in various directions. I further extend my deepest gratitude to the honorable editors and anonymous referees for their invaluable time devoted to this article and for their pearls of comments and suggestions which definitely enriched this article.
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Communicated by Eliot Fried.
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Iqbal, Z. Magnetic Trajectories in Killing Magnetic Backgrounds Framed in 3D pp-Waves. J Nonlinear Sci 33, 16 (2023). https://doi.org/10.1007/s00332-022-09871-0
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DOI: https://doi.org/10.1007/s00332-022-09871-0