On sequential warped product η-Ricci-Bourguignon solitons

Traore M., TAŞTAN H. M.

Filomat, vol.38, no.19, pp.6785-6797, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 19
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2419785t
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6785-6797
  • Keywords: concurrent vector field, Killing and conformal vector fields, quasi-Einstein manifolds, warped product manifolds, η-Ricci-Bourguignon solitons
  • Istanbul University Affiliated: Yes

Abstract

We investigate η-Ricci-Bourguignon solitons structure on sequential warped product manifolds and prove that an η-Ricci-Bourguignon soliton sequential warped manifold whose potential vector field is Killing or conformal must be a quasi-Einstein manifold. Finally, we deduce two applications of η-Ricci-Bourguignon solitons sequential warped product namely standard static space-times and generalized Robertson-Walker space-times.