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Ï -Einstein Solitons on Warped Product Manifolds and Applications

Author

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  • Nasser Bin Turki
  • Sameh Shenawy
  • H. K. EL-Sayied
  • N. Syied
  • C. A. Mantica
  • Antonio Masiello

Abstract

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

Suggested Citation

  • Nasser Bin Turki & Sameh Shenawy & H. K. EL-Sayied & N. Syied & C. A. Mantica & Antonio Masiello, 2022. "Ï -Einstein Solitons on Warped Product Manifolds and Applications," Journal of Mathematics, Hindawi, vol. 2022, pages 1-10, October.
    • Handle: RePEc:hin:jjmath:1028339
    DOI: 10.1155/2022/1028339
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