Impact of gradient solitons on perfect fluid spacetimes admitting a type of semi-symmetric non-metric connection

This article carries out the investigation of a 4-dimensional Lorentzian manifold M4 endowed with a type of semi-symmetric non-metric connection (SSNMC) whose associated vector field is parallel with respect to the semi-Riemannian connection. We investigate gradient Ricci solitons, gradient ?-Ricci solitons and gradient Yamabe soliton with respect to SSNMC and we obtain several interesting results on perfect fluid spacetimes.