Generalized parallel transport and coordinate transformations in f(R) gravity

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dc.authoridDil, Emre/0000-0002-9042-7694
dc.contributor.authorDil, Emre
dc.date.accessioned2025-03-23T19:26:05Z
dc.date.available2025-03-23T19:26:05Z
dc.date.issued2016
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we study the generalized parallel transport of vectors and generalized coordinate transformations between generalized reference frames described in f(R) gravity. After constructing the generalized parallel transport relations and the generalized transformation laws in f(R) gravity, we discuss the implications of these laws and present the differences between f(R) gravity and Einstein's general relativity. For a constant Ricci scalar case with de Sitter-like behavior for a de Sitter space-time, we find that the parallel transport is invariant under the conformal transformation from general relativity to f(R) gravity. However, for a non-de Sitter space-time, parallel transport differs by an extra field term.
dc.identifier.doi10.3938/jkps.69.1733
dc.identifier.endpage1738
dc.identifier.issn0374-4884
dc.identifier.issn1976-8524
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85007571949
dc.identifier.scopusqualityQ3
dc.identifier.startpage1733
dc.identifier.urihttps://doi.org/10.3938/jkps.69.1733
dc.identifier.urihttps://hdl.handle.net/11486/4627
dc.identifier.volume69
dc.identifier.wosWOS:000392143900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDil, Emre
dc.language.isoen
dc.publisherKorean Physical Soc
dc.relation.ispartofJournal of the Korean Physical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectCoordinate transformations
dc.subjectGeneral relativity
dc.subjectf(R) gravity
dc.titleGeneralized parallel transport and coordinate transformations in f(R) gravity
dc.typeArticle

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