A new class of almost Ricci solitons and their physical interpretation
type: Item
instance of: scholarly article
title: A new class of almost Ricci solitons and their physical interpretation
zbMATH Open document ID: 1428.83010
DOI: 10.1155/2016/4903520
published in: International Scholarly Research Notices. Mathematical Physics
publication date: 2019-02-21T00:00:00Z
review text: Summary: 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 \((u, \mu, p, \alpha, \eta, \sigma_{i j})\) 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 \(u\) be tilted. We also suggest two open problems.
Mathematics Subject Classification ID: 83C55
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 53E20
zbMATH DE Number: 7027185
Wikidata QID: Q39251020
author: Krishan Lal Duggal
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4903520
OpenAlex ID: W2558367988
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description: scientific article; zbMATH DE number 7027185