The existence of gradient Yamabe solitons on spacetimes

Date
2022-10
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Source Title
Results in Mathematics
Print ISSN
1422-6383
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Publisher
Springer
Volume
77
Issue
5
Pages
206-1 - 206-18
Language
English
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Abstract

The main aim of the present article is to study generalized quasi-Yamabe gradient solitons on warped product manifolds. First, we obtain some necessary and sufficient conditions for the existence of generalized quasi-Yamabe gradient solitons equipped on a warped product structure. Then we study some important applications in the Lorentzian and the neutral settings for the particular class, called as gradient Yamabe soliton. More explicitly, we prove the existence of the non-trivial gradient Yamabe soliton on generalized Robertson–Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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