Publication:
General teleparallel metrical geometries

dc.contributor.coauthorAdak, Muzaffer
dc.contributor.coauthorKoivisto, Tomi S.
dc.contributor.coauthorPala, Caglar
dc.contributor.departmentDepartment of Physics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2025-01-19T10:30:15Z
dc.date.issued2023
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.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.openaccessGreen Submitted
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
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.
dc.description.volume20
dc.identifier.doi10.1142/S0219887823502158
dc.identifier.eissn1793-6977
dc.identifier.issn0219-8878
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85168836172
dc.identifier.urihttps://doi.org/10.1142/S0219887823502158
dc.identifier.urihttps://hdl.handle.net/20.500.14288/26022
dc.identifier.wos1035574600003
dc.keywordsNon-Riemannian geometry
dc.keywordsMetric
dc.keywordsCurvature
dc.keywordsTorsion
dc.keywordsNonmetricity
dc.keywordsCalculus of variations
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.grantnoScientific 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)
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physics
dc.subjectPhysics, mathematical
dc.titleGeneral teleparallel metrical geometries
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorDerelli, Tekin
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics
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