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arxiv: gr-qc/0604030 · v1 · pith:I2AWCYPEnew · submitted 2006-04-07 · 🌀 gr-qc

symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces

classification 🌀 gr-qc
keywords riccicollineationsspacesinvestigatedmaximalspacestaticsymmetric
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Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_{\alpha}) \neq 0$). It turns out that the only collineations admitted by these spaces can be ten, seven, six or four. Some new metrics admitting proper Ricci collineations are also investigated.

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