De Krishnendu, Khan Mohammad Nazrul Islam, De Uday Chand
Department of Mathematics, Kabi Sukanta Mahavidyalaya, The University of Burdwan. Bhadreswar, Hooghly, West Bengal, India.
Department of Computer Engineering, College of Computer, Qassim University, Buraydah, Saudi Arabia.
Heliyon. 2024 Feb 6;10(4):e25702. doi: 10.1016/j.heliyon.2024.e25702. eCollection 2024 Feb 29.
In this article, we examine gradient type Ricci solitons and -quasi Einstein solitons in generalized Robertson-Walker () spacetimes. Besides, we demonstrate that in this scenario the spacetime presents the Robertson-Walker () spacetime and the perfect fluid () spacetime presents the phantom era. Consequently, we show that if a spacetime permits a gradient -Einstein solitons, then it also represents a spacetime under certain condition.
在本文中，我们研究了广义罗伯逊 - 沃克（）时空下的梯度型里奇孤立子和 - 拟爱因斯坦孤立子。此外，我们证明在这种情况下，时空呈现出罗伯逊 - 沃克（）时空，而理想流体（）时空呈现出幻影时代。因此，我们表明，如果一个时空允许一个梯度 - 爱因斯坦孤立子，那么在一定条件下它也代表一个时空。
