Characterizations of Relativistic Magneto-Fluid Spacetimes Admitting Einstein Soliton

Abstract

In this paper, we study some geometric properties of relativistic magneto-fluid spacetime admitting Einstein soliton. Here, we expose the nature of soliton when a relativistic magneto-fluid spacetime and $\mathcal{W}_2$-flat relativistic magneto-fluid spacetime and $\mathcal{Q}$-flat relativistic magneto-fluid spacetime satisfying Einstein field equation. Also we explore magneto-fluid warped product spacetimes that admits magneto-fluid generalized Robertson-Walker spacetimes and magneto-fluid standard static spacetimes in terms of Einstein soliton. Finally, we discuss some results on different types of magneto-fluid spacetimes admitting Einstein soliton.