@article{article_545038, title={Almost Ricci Solitons and Physical Applications}, journal={International Electronic Journal of Geometry}, volume={10}, pages={1–10}, year={2017}, author={Lal Duggal, Krishan}, keywords={Ricci solitons,curvature symmetry,totally umbilical,Einstein spaces}, abstract={<div>In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannian </div> <div>manifold and a class of almost Ricci solitons(ARS). In support of this link we present three </div> <div>mathematical models of conformally flat ARS-manifolds. As an application to relativity, by </div> <div>investigating the kinematic and dynamic properties of ARS-spacetimes we present a physical </div> <div>model of three classes (namely, shrinking, steady and expanding) of perfect fluid solutions </div> <div>for ARS-spacetimes and prove the existence of a family of totally umbilical ARS Einstein </div> <div>hypersurfaces of a GRW-spacetime. Finally, we propose two open problems for further study. </div>}, number={2}, publisher={Kazım İlarslan}