Non-static spherically symmetric spacetimes and their conformal Ricci collineations

被引：4

作者：

Khan, Fawad ^{[1
]}

Hussain, Tahir ^{[1
]}

Bokhari, Ashfaque Hussain ^{[2
]}

Akhtar, Sumaira Saleem ^{[1
]}

机构：

[1] Univ Peshawar, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

ARABIAN JOURNAL OF MATHEMATICS | 2020年 / 9卷 / 02期

关键词：

83C15; BIANCHI TYPE-I; KANTOWSKI-SACHS; MATTER COLLINEATIONS; CLASSIFICATION; VECTORS;

D O I：

10.1007/s40065-019-0249-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：393 / 400

页数：8

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[1] Non-static spherically symmetric spacetimes and their conformal Ricci collineations
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Tahir Hussain
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Sumaira Saleem Akhtar
[J]. Arabian Journal of Mathematics, 2020, 9 : 393 - 400
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