Gradient Ricci Bourguignon solitons on perfect fluid space-times

Autor: Sakineh Hajiaghasi, Shahroud Azami
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 1-12 (2024)
Druh dokumentu: article
ISSN: 2251-7952
2645-4505
DOI: 10.22103/jmmr.2023.20705.1376
Popis: 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.
Databáze: Directory of Open Access Journals