We study proper teleparallel conformal vector fields in spherically symmetric static spacetimes. The main objective of this paper is to present the classification for the above-mentioned spacetimes. The problem has been examined by two methods: direct integration technique and diagonal tetrads. We show that the spherically symmetric static spacetimes do not admit proper teleparallel conformal vector field, so are actually the teleparallel killing vector fields.

中文翻译：

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使用对角四分体对球对称静态时空的适当远平行共形对称性进行分类

我们研究了球对称静态时空中的适当远平行共形矢量场。本文的主要目的是介绍上述时空的分类。该问题已通过两种方法进行检查：直接积分技术和对角四分体。我们表明，球对称静态时空不允许适当的远程平行共形矢量场，实际上远程平行杀伤矢量场也是如此。