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Non-static spherically symmetric spacetimes and their conformal Ricci collineations
Arabian Journal of Mathematics Pub Date : 2019-03-04 , DOI: 10.1007/s40065-019-0249-5
Fawad Khan , Tahir Hussain , Ashfaque Hussain Bokhari , Sumaira Saleem Akhtar

For a perfect fluid matter, we present a study of conformal Ricci collineations (CRCs) of non-static spherically symmetric spacetimes. For non-degenerate Ricci tenor, a vector field generating CRCs is found subject to certain integrability conditions. These conditions are then solved in various cases by imposing certain restrictions on the Ricci tensor components. It is found that non-static spherically symmetric spacetimes admit 5, 6 or 15 CRCs. In the degenerate case, it is concluded that such spacetimes always admit infinite number of CRCs.

中文翻译:

非静态球对称时空及其保形Ricci归类

对于完美的流体物质,我们提出了非静态球对称时空的共形Ricci归类(CRC)研究。对于非简并里氏男高音,发现产生CRC的向量场受某些可积性条件的影响。然后在各种情况下通过对Ricci张量分量施加某些限制来解决这些条件。发现非静态球对称时空允许5、6或15个CRC。在简并的情况下,可以得出这样的时空总是允许无限数量的CRC的结论。
更新日期:2019-03-04
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