Spacetimes and Almost Ricci-Yamabe Solitons

This article investigates almost Ricci-Yamabe solitons and gradient almost Ricci-Yamabe solitons in spacetimes. Initially, we demonstrate that if a spacetime allows an almost Ricci-Yamabe soliton with a conformal vector field as potential vector field, then the spacetime turns into an Einstein spacetime. Next, we examine that if a spacetime admits an almost Ricci-Yamabe soliton with a recurrent vector field as potential vector field, then the spacetime becomes perfect fluid spacetime. Then, it is shown that if a generalized Robertson-Walker spacetime admits an almost Ricci-Yamabe soliton or a gradient almost Ricci-Yamabe soliton, then it represents a perfect fluid spacetime. Consequently, we derive a number of interesting corollaries. We conclude providing an example of an almost Ricci-Yamabe solitons.