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Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes

Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes
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摘要 In this article we discuss Noether conservation laws admitted by a Lagrangian L = gab(dx^a/ds)(dx^b/ds)of a test particle moving in the field of a general plane symmetric non-static spacetime metric. In this context, we first present a general solution representing a Noether symmetry vector subject to differential constraints satisfied by the general plane symmetric non-static metric. We then use a class of plane symmetric non-static metrics obtained by Feroze et al. and discuss, in each case, Noether conservation laws in comparison with Killing symmetries.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第9期335-341,共7页 理论物理通讯(英文版)
关键词 conservation laws Noether symmetries plane symmetric spacetimes 守恒定律 面对称 Noether对称性 时空变化 分类 拉格朗日 时空度规 微分约束
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