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dc.contributor.authorTastan, Hakan Mete
dc.contributor.authorGfiler, Sinem
dc.date.accessioned2023-02-21T07:58:16Z
dc.date.available2023-02-21T07:58:16Z
dc.date.issued2022
dc.identifier.citationGfiler S., Tastan H. M., "Gradient solitons on twisted product manifolds and their applications in general relativity", INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.19, sa.10, 2022
dc.identifier.issn0219-8878
dc.identifier.otherav_11c1f8f8-355b-4b04-916e-78a8a0afa944
dc.identifier.othervv_1032021
dc.identifier.urihttp://hdl.handle.net/20.500.12627/186267
dc.identifier.urihttps://doi.org/10.1142/s0219887822501547
dc.description.abstractIn this paper, first, we find the necessary and sufficient condition for a Riemannian manifold to be the locally warped product. Then we investigate the existence of different types of gradient solitons, such as gradient (almost) Yamabe soliton, conformal soliton and gradient Ricci soliton on the twisted product manifolds. We also study the concircular flatness condition on a twisted product and examine the Einstein-type relations on its base and fiber manifold. Moreover, we introduce the notions of twisted generalized Robertson-Walker spacetime and twisted standard static spacetime. We get an ordinary differential equation (ODE) that determines the twisting function of the former and the exact form of the twisting function for the latter one.
dc.language.isoeng
dc.subjectMatematiksel Fizik
dc.subjectFizik Bilimleri
dc.subjectGenel Fizik
dc.subjectFizik
dc.subjectTemel Bilimler
dc.subjectTemel Bilimler (SCI)
dc.subjectFİZİK, MATEMATİK
dc.titleGradient solitons on twisted product manifolds and their applications in general relativity
dc.typeMakale
dc.relation.journalINTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
dc.contributor.departmentİstanbul Üniversitesi , Fen Fakültesi , Matematik Bölümü
dc.identifier.volume19
dc.identifier.issue10
dc.contributor.firstauthorID3455179


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