https://doi.org/10.1140/epjp/s13360-024-05120-3
Regular Article
Geometry of gradient Einstein harmonic solitons in sequential warped products manifolds
1
Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia
2
Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia
3
Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, 11546, Riyadh, Saudi Arabia
4
School of Mathematics, Hangzhou Normal University, 311121, Hangzhou, China
Received:
23
January
2024
Accepted:
20
March
2024
Published online:
18
April
2024
In the present paper, we study the primary connections for a gradient Einstein harmonic solitons on sequential warped product manifolds. We obtain some necessary and sufficient conditions such that a sequential warped product manifold to be a gradient Einstein harmonic soliton. As applications, our research investigates gradient Einstein harmonic solitons for sequential generalized Robertson–Walker spacetimes and sequential standard static spacetimes.
Norah Alshehri and Yanlin Li contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
