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Gradient Ricci Bourguignon solitons on perfect fluid space-times
oleh: Sakineh Hajiaghasi, Shahroud Azami
| Format: | Article |
|---|---|
| Diterbitkan: | Shahid Bahonar University of Kerman 2024-08-01 |
Deskripsi
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.