In this paper, we study the magnetic curves on a Kähler manifold which is conformally equivalent to Euclidean Schwarzschild space. We show that Euclidean Schwarzschild space is locally conformally Kähler and transform it into a Kähler space by applying a conformal factor coming from its Lee form. We solve Lorentz equation to find analytical expressions for magnetic curves which are compatible with the almost complex structure of the proposed Kähler manifold. We also calculate the energy of magnetic curves.
Primary Language | English |
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Subjects | Classical Physics (Other), Applied Mathematics (Other) |
Journal Section | Natural Sciences |
Authors | |
Publication Date | March 28, 2024 |
Submission Date | December 5, 2023 |
Acceptance Date | March 4, 2024 |
Published in Issue | Year 2024 |