A note on some perfect fluid Kantowski-Sachs and Bianchi type III spacetimes and their conformal vector fields in f(R) theory of gravity

被引:28
作者
Shabbir, Ghulam [1 ]
Hussain, Fiaz [2 ]
Kara, A. H. [3 ,4 ]
Ramzan, Muhammad [2 ]
机构
[1] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Kpk, Pakistan
[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan
[3] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
[4] Univ Witwatersrand, DST NRF Ctr Excellence Math, ZA-2050 Johannesburg, South Africa
关键词
Direct integration technique; conformal vector fields in f(R) theory of gravity; perfect fluid; TELEPARALLEL THEORY; KILLING VECTORS; CLASSIFICATION; TIMES; COLLINEATIONS; SYMMETRY; UNIVERSE;
D O I
10.1142/S0217732319500792
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The purpose of this paper is to find conformal vector fields of some perfect fluid Kantowski-Sachs and Bianchi type III spacetimes in the f(R) theory of gravity using direct integration technique. In this study, there exist only eight cases. Studying each case in detail, we found that in two cases proper conformal vector fields exist while in the rest of the cases, conformal vector fields become Killing vector fields. The dimension of conformal vector fields is either 4 or 6.
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页数:10
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