- International Electronic Journal of Geometry
- Vol: 10 Issue: 2
- Almost Ricci Solitons and Physical Applications
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
Abstract :In this paper, we establish a link between a "curvature inheritance symmetry" of a semi-Riemannian manifold and a class of almost Ricci solitons(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 (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