Gradient Ricci-harmonic solitons on multiply warped products

Karaca F.

International Journal of Geometric Methods in Modern Physics, vol.18, no.9, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1142/s0219887821501401
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Gradient Ricci-harmonic soliton, multiply warped product, warped product
  • Yıldız Technical University Affiliated: No

Abstract

In this paper, we find the necessary and sufficient conditions for a multiply warped product to be a gradient Ricci-harmonic soliton. We also investigate the necessary and sufficient conditions for a multiply generalized Robertson-Walker space-time and a generalized Reissner-Nordström space-time to be a gradient Ricci-harmonic soliton.