General teleparallel metrical geometries

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dc.contributor.authorAdak, Muzaffer
dc.contributor.authorDereli, Tekin
dc.contributor.authorKoivisto, Tomi S.
dc.contributor.authorPala, Caglar
dc.date.accessioned2024-07-12T21:40:20Z
dc.date.available2024-07-12T21:40:20Z
dc.date.issued2023en_US
dc.department[Belirlenecek]en_US
dc.description.abstractIn the conventional formulation of general relativity, gravity is represented by the metric curvature of Riemannian geometry. There are also alternative formulations in flat affine geometries, wherein the gravitational dynamics is instead described by torsion and nonmetricity. These so called general teleparallel geometries may also have applications in material physics, such as the study of crystal defects. In this work, we explore the general teleparallel geometry in the language of differential forms. We discuss the special cases of metric and symmetric teleparallelisms, clarify the relations between formulations with different gauge fixings and without gauge fixing, and develop a method of recasting Riemannian into teleparallel geometries. As illustrations of the method, exact solutions are presented for the generic quadratic theory in 2, 3 and 4 dimensions.en_US
dc.description.sponsorshipScientific Research Coordination Unit of Pamukkale University [2022FEBE032]; TUBITAK (Scientific and Technical Research Council of Turkey) [TUBITAK 2214-A]; Estonian Research Council [PRG356]; Turkish Academy of Sciences (TBA)en_US
dc.description.sponsorshipM.A. stays at Istanbul Technical University (ITU) via a sabbatical leave and thanks the Department of Physics, ITU for warm hospitality. C.P. and M.A. are supported via the project number 2022FEBE032 by the Scientific Research Coordination Unit of Pamukkale University. C.P. thanks TUBITAK (Scientific and Technical Research Council of Turkey) for a grant through TUBITAK 2214-A that makes his stay in the Estonia possible and the Institute of Physics, University of Tartu for warm hospitality. T.S.K. is supported by the Estonian Research Council grant PRG356. T.D. is partially supported by The Turkish Academy of Sciences (TBA). We thank the anonymous referee for useful comments.en_US
dc.identifier.doi10.1142/S0219887823502158
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.scopus2-s2.0-85168836172en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887823502158
dc.identifier.urihttps://hdl.handle.net/20.500.12415/7247
dc.identifier.wosWOS:001035574600003en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKY05203
dc.subjectNon-Riemannian Geometryen_US
dc.subjectMetricen_US
dc.subjectCurvatureen_US
dc.subjectTorsionen_US
dc.subjectNonmetricityen_US
dc.subjectCalculus Of Variationsen_US
dc.titleGeneral teleparallel metrical geometriesen_US
dc.typeArticle
dspace.entity.typePublication

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