Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space

Özgür Kelekçi

doi:10.17776/csj.1400543

EN

Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space

Abstract

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.

Keywords

Magnetic curve, Lorentz equation, Kähler magnetic fields, Euclidean Schwarzschild metric

References

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Details

Primary Language

English

Subjects

Classical Physics (Other), Applied Mathematics (Other)

Journal Section

Research Article

Authors

Özgür Kelekçi ^*
0000-0001-7617-0231
Türkiye

Publication Date

March 28, 2024

Submission Date

December 5, 2023

Acceptance Date

March 4, 2024

Published in Issue

Year 2024 Volume: 45 Number: 1

DOI

https://doi.org/10.17776/csj.1400543

IZ

https://izlik.org/JA25HX85XT

APA

Kelekçi, Ö. (2024). Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space. Cumhuriyet Science Journal, 45(1), 147-152. https://doi.org/10.17776/csj.1400543

AMA

1.Kelekçi Ö. Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space. CSJ. 2024;45(1):147-152. doi:10.17776/csj.1400543

Chicago

Kelekçi, Özgür. 2024. “Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space”. Cumhuriyet Science Journal 45 (1): 147-52. https://doi.org/10.17776/csj.1400543.

EndNote

Kelekçi Ö (March 1, 2024) Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space. Cumhuriyet Science Journal 45 1 147–152.

IEEE

[1]Ö. Kelekçi, “Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space”, CSJ, vol. 45, no. 1, pp. 147–152, Mar. 2024, doi: 10.17776/csj.1400543.

ISNAD

Kelekçi, Özgür. “Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space”. Cumhuriyet Science Journal 45/1 (March 1, 2024): 147-152. https://doi.org/10.17776/csj.1400543.

JAMA

1.Kelekçi Ö. Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space. CSJ. 2024;45:147–152.

MLA

Kelekçi, Özgür. “Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space”. Cumhuriyet Science Journal, vol. 45, no. 1, Mar. 2024, pp. 147-52, doi:10.17776/csj.1400543.

Vancouver

1.Özgür Kelekçi. Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space. CSJ. 2024 Mar. 1;45(1):147-52. doi:10.17776/csj.1400543

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Magnetic Curves in Differential Geometry: A Comprehensive Survey

Mathematics

https://doi.org/10.3390/math13233849

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