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Teleparallel Conformal Killing Vector Fields of LRS Bianchi Type V Spacetimes in Teleparallel Gravity

机译:LRs Bianchi V型的远程并行共形杀伤矢量场   Teleparallel Gravity中的时空

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摘要

The aim of this paper is to explore teleparallel conformal Killing vectorfields (CKVFs) of locally rotationally symmetric (LRS) Bianchi type Vspacetimes in the context of teleparallel gravity and compare the obtainedresults with those of general relativity. The general solution of teleparallelconformal Killing's equations is found in terms of some unknown functions of tand x , along with a set of integrability conditions. The integrabilityconditions are solved in some particular cases to get the final form ofteleparallel CKVFs. It is observed that the LRS Bianchi type V spacetimes admitproper teleparallel CKVF in only one case, while in remaining cases theteleparallel CKVFs reduce to teleparallel Killing vector fields (KVFs).Moreover, it is shown that the LRS Bianchi type V spacetimes do not admit anyproper teleparallel homothetic vector field (HVF).
机译:本文的目的是在远平行重力的背景下探索局部旋转对称(LRS)Bianchi型Vspacetimes的远平行共形Killing向量场(CKVF),并将所得结果与广义相对论进行比较。根据tand x的一些未知函数以及一组可积性条件,找到了Teleparallelconformal Killing方程的一般解。在某些特定情况下,解决了可积性条件,以获得最终形式的平行CKVF。观察到LRS Bianchi V型时空仅在一种情况下可允许远距平行CKVF,而在其余情况下,teleparallel CKVFs减小为Teleparallel Killing矢量场(KVFs)。远方平行矢量场(HVF)。

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