Relativistic perfect fluid spacetimes and Ricci-Yamabe solitons (Q2072189)
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scientific article; zbMATH DE number 7464292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relativistic perfect fluid spacetimes and Ricci-Yamabe solitons |
scientific article; zbMATH DE number 7464292 |
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Relativistic perfect fluid spacetimes and Ricci-Yamabe solitons (English)
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26 January 2022
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The paper under review studies perfect fluid spacetimes admitting Ricci-Yamabe solitons and \(\gamma\)-Ricci-Yamabe solitons with a torse-forming vector field where \(\gamma\) is a 1-form that is the dual of the potential vector field with respect to the metric \(g.\) The authors also obtain a Poisson and a Liouville equation from the soliton equation. Furthermore, they derive necessary and sufficient conditions for \(\gamma\) on a perfect fluid spacetime to be a solution for the Schrödinger-Ricci equation.
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Ricci-Yamabe soliton
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perfect fluid spacetime
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torse-forming vector field
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Schrödinger-Ricci equation.
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0.9577227
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0.9566892
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0.94441277
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0.9304069
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0.9260032
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0.9229046
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