Yadav, Sunil KumarYıldız, Ahmet2026-04-042026-04-0420252147-625Xhttps://hdl.handle.net/11616/108267In this article, we investigate L P-Sasakian spacetimes attached with perfect fluid whose metrics are (CERY)4-soliton admitting Z-tensor. Also we discuss the application of such soliton to cosmology and general relativity. Besides this, we deduce a modified Poisson equation and modified Liouville equation from the (CERY)4-soliton on L P-Sasakian spacetimes. In addition, we light up the harmonic aspect of such soliton on perfect fluid L P-Sasakian spacetimes. Moreover, we conclude a necessary and sufficient condition for a 1-form η♯, which is the g⋆-dual of the vector field ξ on such a spacetime to be a solution of the Schrödinger-Ricci equation. In conclusion, we present an instance of a 4-dimensional L P-Sasakian spacetime with the (CERY)4-soliton equipped with Z-tensor. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.eninfo:eu-repo/semantics/closedAccessconformal η-Ricci-Yamabe soliton. Schrödinger-Ricci equationgeneralized Z tensorL P-Sasakian manifoldmodified Poisson equation and modified Liouville equationArticle1311132-s2.0-105005464969Q3