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Proper conformal Killing vectors in static plane symmetric space-times - MaRDI portal

Proper conformal Killing vectors in static plane symmetric space-times (Q2014527)

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scientific article; zbMATH DE number 6764555
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English
Proper conformal Killing vectors in static plane symmetric space-times
scientific article; zbMATH DE number 6764555

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    Proper conformal Killing vectors in static plane symmetric space-times (English)
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    25 August 2017
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    The papers summary gives a good description of its content. We repeat the summary below. ``Conformal Killing vectors (CKVs) in static plane symmetric spacetimes were recently studied by \textit{K. Saifullah} and \textit{Shair-E-Yazdan} [Int. J. Mod. Phys. D 18, No. 1, 71--81 (2009; Zbl 1163.83330)], who concluded by remarking that static plane symmetric spacetimes do not admit any proper CKV except in the case where these spacetimes are conformally flat. We present some non-conformally flat static plane symmetric spacetime metrics admitting proper CKVs. For these spacetimes, we also investigate a special type of CKVs, known as inheriting CKVs.'' The authors take a step forwards to improve our understanding of conformal Killing vectors in general, and in static plane symmetric spacetimes in particular.
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    conformally flat spacetime
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    Killing vector
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    homothetic vector
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    conformal Killing vector
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