The 1/c expansion of general relativity in a 3

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dc.contributor.authorElbistan, Mahmut
dc.date.accessioned2026-04-04T18:56:11Z
dc.date.available2026-04-04T18:56:11Z
dc.date.issued2026
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractWe study the 1/c expansion of general relativity within a formulation that is compatible with both the Arnowitt-Deser-Misner and the Kol-Smolkin decompositions. The Einstein-Hilbert action takes a common form for those decompositions as they are dual to each other. We first develop a method to expand this generic form without choosing a particular slicing and then push the expansion up to c-3 order within this novel approach. Next, we apply our technique to the Arnowitt-Deser-Misner decomposition and expand it up to c-3 order explicitly. In order to demonstrate the applicability of our method and to highlight the duality at the level of expansion, we also perform the expansion in the Kol-Smolkin decomposition up to c-1 order. Lastly, we make some all-order observations.
dc.description.sponsorshipIstanbul Bilgi University research fund (BAP) [2024.01.009]; Scientific and Technological Research Council of Turkiye (TUBITAK) [125F021]
dc.description.sponsorshipThe author is supported by Istanbul Bilgi University research fund (BAP) with grant no: 2024.01.009 and by The Scientific and Technological Research Council of Turkiye (TUBITAK) under grant number 125F021.
dc.identifier.doi10.55730/1300-0101.2800
dc.identifier.doi10.55730/1300-0101.2800
dc.identifier.issn1300-0101
dc.identifier.issn1303-6122
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105032873004
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.55730/1300-0101.2800
dc.identifier.urihttps://hdl.handle.net/11411/10737
dc.identifier.volume50
dc.identifier.wosWOS:001697451000003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260402
dc.snmzKA_Scopus_20260402
dc.subjectLarge C Expansion
dc.subject3 + 1 Decomposition Of General Relativity
dc.subjectNonrelativistic Gravity
dc.titleThe 1/c expansion of general relativity in a 3
dc.typeArticle

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