2022/11/17 by Si̇nem Güler, Güler, Sinem, Bülent Ünal +1
Mathematics · Physics and Astronomy · #53C25 #53C40 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2211.09868
openalex publication_date 2022/11/17 · openalex created_date 2022/11/28 · openalex updated_date 2026/07/30
In this paper, we mainly study gradient ρ-Einstein solitons on doubly warped product manifolds. More explicitly, we obtain necessary and sufficient conditions for a doubly warped product manifold to be a gradient ρ-Einstein soliton. We also apply our main result to warped product spacetime models such as generalized Robertson-Walker and standard static spacetimes as well as 3-dimensional Walker manifolds. We finally establish that there is no 3-dimensional esentially conformally symmetric gradient ρ-Einstein soliton.