Almost Ricci Solitons and Physical Applications

Authors : Krishan LAL DUGGAL

Pages : 1-10

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Publication Date : 2017-10-29

Article Type : Research Paper

Abstract :In this paper, we establish a link between a “curvature inheritance symmetry` of a semi-Riemannian manifold and a class of almost Ricci solitonsinsert ignore into journalissuearticles values(ARS);. In support of this link we present three mathematical models of conformally flat ARS-manifolds. As an application to relativity, by investigating the kinematic and dynamic properties of ARS-spacetimes we present a physical model of three classes insert ignore into journalissuearticles values(namely, shrinking, steady and expanding); of perfect fluid solutions for ARS-spacetimes and prove the existence of a family of totally umbilical ARS Einstein hypersurfaces of a GRW-spacetime. Finally, we propose two open problems for further study.
Keywords : Ricci solitons, curvature symmetry, totally umbilical, Einstein spaces