The existence of gradient Yamabe solitons on spacetimes

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buir.contributor.authorÜnal, Bülent
buir.contributor.orcidÜnal, Bülent|0000-0002-9563-8108
dc.citation.epage206-18en_US
dc.citation.issueNumber5en_US
dc.citation.spage206-1en_US
dc.citation.volumeNumber77en_US
dc.contributor.authorGüler, S.
dc.contributor.authorÜnal, Bülent
dc.date.accessioned2023-02-16T13:00:39Z
dc.date.available2023-02-16T13:00:39Z
dc.date.issued2022-10
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractThe 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.en_US
dc.identifier.doi10.1007/s00025-022-01739-9en_US
dc.identifier.issn1422-6383
dc.identifier.urihttp://hdl.handle.net/11693/111464
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://doi.org/10.1007/s00025-022-01739-9en_US
dc.source.titleResults in Mathematicsen_US
dc.subjectGeneralized quasi-gradient Yamabe solitonsen_US
dc.subjectGeneralized Robertson–Walker spacetimesen_US
dc.subjectpp-wave spacetimesen_US
dc.subjectStandard static spacetimesen_US
dc.subjectWalker manifoldsen_US
dc.subjectWarped product manifoldsen_US
dc.titleThe existence of gradient Yamabe solitons on spacetimesen_US
dc.typeArticleen_US
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