A New Class of Almost Ricci Solitons and Their Physical Interpretation. (4th December 2016)

• Record Type: Journal Article
• Authors: Duggal, K. L.
• Other Names: Masiello Antonio Academic Editor.
• Is Part Of: International scholarly research notices. Volume 2016(2016)
• Publication Date: 2016-12-04
• Subjects: Medical sciences -- Periodicals; Life sciences -- Periodicals; Medicine -- Periodicals; Science -- Periodicals; Biomedical Technology; Biological Science Disciplines; Medicine; Life sciences; Medical sciences; Medicine; Science; Periodical; Periodicals; Fulltext; Internet Resources; Periodicals; Electronic journals
• DOI: 10.1155/2016/4903520
• Languages: English
• ISSNs: 2356-7872

Abstract

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, σ i j ) 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 vectoru be tilted. We also suggest two open problems.