Novel theorems for a Bochner flat Lorentzian Ka¨hler space-time manifold with η-Ricci-Yamabe solitons

Abstract

In the current work, we examine $\eta$-Ricci-Yamabe solitons in a Bochner flat Lorentzian K$\ddot{a}$hler space-time manifolds. We have addressed various circumstances for Ricci-Yamabe solitons to be steady, shrinking or expanding in terms of isotropic pressure, the cosmological constant, energy density and gravitational constant in different perfect fluids such as dark fluid, Stiff matter, dust fluid and radiation fluid.