Weak field and slow motion limits in energy–momentum powered gravity

dc.contributor.authorÇamlıbel, Ali Kazım
dc.contributor.authorAkarsu, Özgür
dc.contributor.authorKatırcı, Nihan
dc.contributor.authorSemiz, İbrahim
dc.date.accessioned2024-04-04T21:06:37Z
dc.date.available2024-04-04T21:06:37Z
dc.date.issued2023
dc.departmentTAÜ, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.description.abstractWe explore the weak field and slow motion limits, Newtonian and Post-Newtonian limits, of the energy–momentum powered gravity (EMPG), viz., the energy–momentum squared gravity (EMSG) of the form f (Tµ?T µ? ) = ?(Tµ?T µ? ) ? with ? and ? being constants. We have shown that EMPG with ? ? 0 and general relativity (GR) are not distinguishable by local tests, say, the Solar System tests; as they lead to the same gravitational potential form, PPN parameters, and geodesics for the test particles. However, within the EMPG framework, Mast, the mass of an astrophysical object inferred from astronomical observations such as planetary orbits and deflection of light, corresponds to the effective mass Meff(?, ?, M) = M + Mempg(?, ?, M), M being the actual physical mass and Mempg being the modification due to EMPG. Accordingly, while in GR we simply have the relation Mast = M, in EMPG we have Mast = M + Mempg. Within the framework of EMPG, if there is information about the values of {?, ?} pair or M from other independent phenomena (from cosmological observations, structure of the astrophysical object, etc.), then in principle it is possible to infer not only Mast alone from astronomical observations, but M and Mempg separately. For a proper analysis within EMPG framework, it is necessary to describe the slow motion condition (also related to the Newtonian limit approximation) by |peff/?eff| ? 1 (where peff = p+pempg and ?eff = ? +?empg), whereas this condition leads to |p/?| ? 1 in GR.
dc.identifier.citationÇamlıbel, Ali K., Akarsu, Ö., Katırcı, N., Semiz, İ. (2023). Weak field and slow motion limits in energy–momentum powered gravity. Physics of the Dark Universe, 42. Elsevier BV.
dc.identifier.doi10.1016/j.dark.2023.101305
dc.identifier.issue42en_US
dc.identifier.scopus2-s2.0-85167975015
dc.identifier.urihttps://hdl.handle.net/20.500.12846/1041
dc.identifier.wosWOS:001062900400001
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherElsevier BV
dc.relation.ispartofPhysics of the Dark Universe
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleWeak field and slow motion limits in energy–momentum powered gravity
dc.typeArticle

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