Abstract
The present paper focuses on relativistic magneto-fluid space–time in the framework of \(F(R)\) gravity theory. We characterize the relativistic magneto-fluid space–time stuffing in \(F(R)\) -gravity and obtain the expression for the Ricci tensor, scalar curvature, and the equation of state. Also, by taking a Ricci soliton as its metric, we acquire the conditions under which the soliton shrinks, remains steady or grows when taking Killing and torse forming vector fields. We also establish the emergence of a black hole and a trapped surface outside the black hole and argue that the trapped surface is completely surrounded by the event horizon in the context of a relativistic magneto-fluid space–time stuffed in \(F(R)\) -gravity when it admits a shrinking Ricci soliton by putting restrictions on the scalar function \(\omega\) and the first derivative of \(F(R)\) . It is also shown that when the space–time admits a gradient Ricci soliton as its metric, the gravitational dynamics is solely influenced by the magnetic field strength, magnetic permeability and density of the magnetic fluid, which further affects the total pressure on the considered space–time.
