Relativistic spacetimes admitting almost Schouten solitons

被引:3
|
作者
De, Uday Chand [1 ]
Sardar, Arpan [2 ]
Mofarreh, Fatemah [3 ]
机构
[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India
[2] Univ Kalyani, Dept Math, Nadia 741235, W Bengal, India
[3] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, Riyadh 11546, Saudi Arabia
关键词
Generalized Robertson-Walker spacetimes; GRW spacetimes; perfect fluid spacetimes; almost Schouten solitons; solitons;
D O I
10.1142/S0219887823501475
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we investigate almost Schouten solitons and almost gradient Schouten solitons in spacetimes of general relativity. At first, it is proven that if a generalized Robertson-Walker spacetime permits an almost Schouten soliton, then it becomes a perfect fluid spacetime as well as the spacetime represents a dark matter era. Besides this, we investigate almost gradient Schouten solitons in generalized Robertson-Walker spacetimes. Moreover, a spacetime obeying almost Schouten solitons whose potential vector field is a non-homothetic conformal vector field is of Petrov type O or N.
引用
收藏
页数:13
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