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arXiv · 2211.09868

Gradient $\rho$-Einstein Solitons and Applications

Sinem Güler·Bülent Ünal
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Abstract

In this paper, we mainly study gradient $\rho$-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 $\rho$-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 $\rho$-Einstein soliton.

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BibTeXRIS

Sinem Güler, Bülent Ünal. 2022-11-17. Gradient $\rho$-Einstein Solitons and Applications. https://arxiv.org/abs/2211.09868

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