Magnetic Trajectories in Killing Magnetic Backgrounds Framed in 3D pp-Waves

被引：0

作者：

Iqbal, Zafar ^{[1
]}

机构：

[1] Kaliyaganj Coll, Dept Math, Kaliyaganj 733129, W Bengal, India

来源：

JOURNAL OF NONLINEAR SCIENCE | 2023年 / 33卷 / 01期

关键词：

Lorentzian; 3-manifold; pp-wave; Geodesic; Magnetic field; Magnetic trajectory; Killing vector field; FIELDS;

D O I：

10.1007/s00332-022-09871-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

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