The objective of this work is to characterize certain geometric aspects of LP-Sasakian (LPS) manifolds admitting a generalized almost Schouten soliton (GASS) and to prove that a such manifold with GASS is of constant scalar curvature. Initially, we examine the solitonic behavior of ϕ-recurrent LPS manifolds with GASS in view of certain curvature conditions. Moreover, we also deliberate the geometric properties of a perfect fluid LPS spacetime with a unit torse-forming vector field (UTVF) in connection with a GASS. Also, the behavior of a GASS is studied in the broader framework of special types of perfect fluid LPS spacetime such as dust fluid, dark fluid, and radiation era. Overall, the main novelty of this work is its study of the geometrical phenomena and characteristics of a GASS on LPS manifolds and their application in a perfect fluid LPS spacetime.
Yadav et al. (Thu,) studied this question.