Gradient Ricci Bourguignon solitons on perfect fluid space-times

Document Type : Research Paper

Authors

Department of Pure Mathematics, Imam Khomeini International University, Qazvin, Iran

Abstract

The main purpose of the present paper is about characterizing the properties of the perfect fluid space-time that admits the gradient Ricci-Bourguignon soliton. This gives some results about the stability of the energy-momentum tensor and also under some conditions pursues that a perfect fluid space-time is Ricci symmetric. As a special case, when a perfect fluid space-time is equipped with the Ricci-Bourguignon soliton which has Ricci biconformal vector field, we show that the metric of this space is Einstein.

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References

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History

  • Receive Date: 14 December 2022
  • Revise Date: 26 June 2023
  • Accept Date: 29 September 2023

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