Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons

被引：2
|
作者：
De, Krishnendu [1 ]
Khan, Mohammad Nazrul Islam [2 ]
De, Uday Chand [3 ]
机构：
[1] Univ Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, Hooghly, W Bengal, India
[2] Qassim Univ, Coll Comp, Dept Comp Engn, Buraydah, Saudi Arabia
[3] Univ Calcutta, Dept Pure Math, Kolkata, W Bengal, India
来源：
HELIYON | 2024年 / 10卷 / 04期
关键词：
Gradient Ricci soliton; Gradient(mr)-quasi Einstein soliton; Generalized Robertson-Walker spacetime; Nonlinear equations; Differential equations; Partial differential equations; RICCI;
D O I：
10.1016/j.heliyon.2024.e25702
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：
In this article, we examine gradient type Ricci solitons and (m, r)-quasi Einstein solitons in generalized Robertson-Walker (GRW) spacetimes. Besides, we demonstrate that in this scenario the GRW spacetime presents the Robertson-Walker (RW) spacetime and the perfect fluid (PF) spacetime presents the phantom era. Consequently, we show that if a GRW spacetime permits a gradient r-Einstein solitons, then it also represents a PF spacetime under certain condition.
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页数：10
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