Conformal Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Static Spacetimes

被引:5
|
作者
Camci, Ugur [1 ]
Saifullah, Khalid [2 ]
机构
[1] Roger Williams Univ, Dept Chem & Phys, One Old Ferry Rd, Bristol, RI 02809 USA
[2] Quaid I Azam Univ, Dept Math, Islamabad 453020, Pakistan
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词
matter collineations; conformal collineations; static spherically symmetric spacetimes; BIANCHI TYPE-II; MATTER COLLINEATIONS; RICCI COLLINEATIONS; KANTOWSKI-SACHS; CLASSIFICATION; TIMES; INHERITANCE; MANIFOLDS; MOTIONS;
D O I
10.3390/sym14040647
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Conformal matter collineations of the energy-momentum tensor of a general spherically symmetric static spacetime are studied. The general form of these collineations is found when the energy-momentum tensor is non-degenerate, and the maximum number of independent conformal matter collineations is 15. In the degenerate case of the energy-momentum tensor, it is found that these collineations have infinite degrees of freedom. In some subcases of degenerate energy-momentum, the Ricci tensor is non-degenerate, that is, there exist non-degenerate Ricci inheritance collineations.
引用
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页数:19
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