Existence and Physical Properties of Gradient Ricci-Yamabe Solitons

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dc.contributor.authorGuler, Sinem
dc.contributor.authorKaraca, Fatma
dc.date.accessioned2026-01-31T15:08:42Z
dc.date.available2026-01-31T15:08:42Z
dc.date.issued2025
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractWe first prove the existence of the gradient Ricci-Yamabe soliton (briefly GRYS) by constructing an explicit example endowed with the Robertson-Walker metric. Then we focus on the physical properties of the gradient Ricci-Yamabe solitons satisying Einstein's field equations, under the assumptions of different subspaces of Gray's decompositions. For instance, we prove that if a GRYS space-time satisfying Einstein's field equations, in which the gradient of the potential function psi is a unit-timelike torse-forming vector field, belongs to the subspaces B and B', then it is a Robertson-Walker space-time with vanishing shear and vorticity. Moreover, its possible local cosmological structures are of Petrov types I, D, or O. Finally, we obtain the equations of state of a perfect-fluid space-time admitting the GRYS whose velocity field is a unit-timelike Killing vector field.
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK) [123F237]
dc.description.sponsorshipThis study was supported by Scientific and Technological Research Council of Turkiye (TUBITAK) under the Grant Number 123F237. The authors thank TUBITAK for their supports. 16. 17.
dc.identifier.doi10.1134/S0202289324700464
dc.identifier.endpage36
dc.identifier.issn0202-2893
dc.identifier.issn1995-0721
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85219643382
dc.identifier.scopusqualityQ3
dc.identifier.startpage28
dc.identifier.urihttps://doi.org./10.1134/S0202289324700464
dc.identifier.urihttps://hdl.handle.net/20.500.12662/10733
dc.identifier.volume31
dc.identifier.wosWOS:001440356400009
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPleiades Publishing Ltd
dc.relation.ispartofGravitation & Cosmology
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260128
dc.titleExistence and Physical Properties of Gradient Ricci-Yamabe Solitons
dc.typeArticle

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