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On Liouville form of the line-element in general relativity - MaRDI portal

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On Liouville form of the line-element in general relativity (Q582591)

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scientific article; zbMATH DE number 4131184
Language Label Description Also known as
English
On Liouville form of the line-element in general relativity
scientific article; zbMATH DE number 4131184

    Statements

    On Liouville form of the line-element in general relativity (English)
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    1990
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    It is shown that the Liouville form for the line-element is recurrent if the conformal factor in the metric is a linear function of the coordinates and this is also the condition that it is a solution of the weakened field equations of the reviewer and \textit{D. J. Newman} [Proc. Camb. Philos. Soc. 57, 851-864 (1961; Zbl 0116.206)] (in the source-free case, that the Riemann tensor has vanishing divergence).
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    weak field equations
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    Liouville form
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    line-element
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