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Noether generators and the Klein–Gordon potential on spaces with nonzero Weyl tensor
International Journal of Geometric Methods in Modern Physics ( IF 2.1 ) Pub Date : 2020-05-26 , DOI: 10.1142/s0219887820501108
Sameerah Jamal 1 , A. Mathebula 1 , Ghulam Shabbir 2
Affiliation  

In this study, we investigate the potential functions [Formula: see text] that appear in the Lagrangian [Formula: see text], where [Formula: see text] is the metric of an arbitrary space. Our approach is based on a connection between the conformal Killing group associated with [Formula: see text] and the Noether symmetries of [Formula: see text]. To this effect, we select certain spaces that are characterized by a nonzero Weyl tensor.

中文翻译:

具有非零外尔张量的空间上的 Noether 发生器和 Klein-Gordon 势

在这项研究中,我们研究了出现在拉格朗日[公式:见文本]中的势函数[公式:见文本],其中[公式:见文本]是任意空间的度量。我们的方法是基于与 [公式:见文本] 相关的保形杀戮群与 [公式:见文本] 的诺特对称性之间的联系。为此,我们选择了某些以非零外尔张量为特征的空间。
更新日期:2020-05-26
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