Table of Contents
International Scholarly Research Notices
Volume 2016 (2016), Article ID 4903520, 6 pages
Research Article

A New Class of Almost Ricci Solitons and Their Physical Interpretation

Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada N9B 3P4

Received 29 September 2016; Accepted 17 November 2016

Academic Editor: Antonio Masiello

Copyright © 2016 K. L. Duggal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 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 vector be tilted. We also suggest two open problems.