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

M. Akbar
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Abstract

Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_α) \neq 0$). 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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M. Akbar. 2006-04-07. symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces. https://doi.org/10.1088/0253-6102%2F45%2F1%2F018

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