Ρ-Einstein Solitons on Warped Product Manifolds and Applications. (18th October 2022)

• Record Type: Journal Article
• Authors: Bin Turki, Nasser; Shenawy, Sameh; EL-Sayied, H. K.; Syied, N.; Mantica, C. A.
• Other Names: Masiello Antonio Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-10-18
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/1028339
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : The purpose of this research is to investigate how a ρ -Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ -Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ -Einstein soliton warped product manifold to make its factor ρ -Einstein soliton are examined. On a ρ -Einstein gradient soliton warped product manifold, necessary and sufficient conditions for making its factor ρ -Einstein gradient soliton are presented. ρ -Einstein solitons on warped product manifolds admitting a conformal vector field are also considered. Finally, the structure of ρ -Einstein solitons on some warped product space-times is investigated.