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International Scholarly Research Notices
Article . 2016 . Peer-reviewed
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International Scholarly Research Notices
Article
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Article . 2016
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Article . 2016
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A New Class of Almost Ricci Solitons and Their Physical Interpretation

A new class of almost Ricci solitons and their physical interpretation
Authors: K. L. Duggal;

A New Class of Almost Ricci Solitons and Their Physical Interpretation

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,σij)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 vectorube tilted. We also suggest two open problems.

Related Organizations
Keywords

Soliton solutions, Ricci flows, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.), Research Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
Green
gold