title: A New Class of Almost Ricci Solitons and Their Physical Interpretation.
abstract: We establish a link between a connection symmetry, called conformal collineation, and almost Ricci soliton (in particular Ricci soliton) in reducible Ricci symmetric semi-Riemannian manifolds. As a physical application, by investigating the kinematic and dynamic properties of almost Ricci soliton manifolds, we present a physical model of imperfect fluid spacetimes. This model gives a general relation between the physical quantities (u,μ,p,α,η,σij) of the matter tensor of the field equations and does not provide any exact solution. Therefore, we propose further study on finding exact solutions of our viscous fluid physical model for which it is required that the fluid velocity vectorube tilted. We also suggest two open problems.
authors.affiliation: Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada N9B 3P4.
authors.forename: K L
authors.identifier: 0000-0003-2967-2727
authors.initials: KL
authors.lastname: Duggal