Virial theorem in scalar tensor fourth order gravity
Abstract In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. $$f(R,\phi )+\omega (\phi )\,\phi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09452-7 |
| _version_ | 1818455237269127168 |
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| author | A. Capolupo G. Lambiase A. Stabile An. Stabile |
| author_facet | A. Capolupo G. Lambiase A. Stabile An. Stabile |
| author_sort | A. Capolupo |
| collection | DOAJ |
| description | Abstract In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. $$f(R,\phi )+\omega (\phi )\,\phi _{;\alpha }\,\phi ^{;\alpha }$$ f ( R , ϕ ) + ω ( ϕ ) ϕ ; α ϕ ; α in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed. |
| first_indexed | 2024-12-14T22:07:35Z |
| format | Article |
| id | doaj.art-5277af018b054b7c90550633531ad06f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T22:07:35Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-5277af018b054b7c90550633531ad06f2022-12-21T22:45:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-07-018171910.1140/epjc/s10052-021-09452-7Virial theorem in scalar tensor fourth order gravityA. Capolupo0G. Lambiase1A. Stabile2An. Stabile3Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di SalernoDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di SalernoDipartimento di Ingegneria, Università del SannioDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di SalernoAbstract In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. $$f(R,\phi )+\omega (\phi )\,\phi _{;\alpha }\,\phi ^{;\alpha }$$ f ( R , ϕ ) + ω ( ϕ ) ϕ ; α ϕ ; α in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed.https://doi.org/10.1140/epjc/s10052-021-09452-7 |
| spellingShingle | A. Capolupo G. Lambiase A. Stabile An. Stabile Virial theorem in scalar tensor fourth order gravity European Physical Journal C: Particles and Fields |
| title | Virial theorem in scalar tensor fourth order gravity |
| title_full | Virial theorem in scalar tensor fourth order gravity |
| title_fullStr | Virial theorem in scalar tensor fourth order gravity |
| title_full_unstemmed | Virial theorem in scalar tensor fourth order gravity |
| title_short | Virial theorem in scalar tensor fourth order gravity |
| title_sort | virial theorem in scalar tensor fourth order gravity |
| url | https://doi.org/10.1140/epjc/s10052-021-09452-7 |
| work_keys_str_mv | AT acapolupo virialtheoreminscalartensorfourthordergravity AT glambiase virialtheoreminscalartensorfourthordergravity AT astabile virialtheoreminscalartensorfourthordergravity AT anstabile virialtheoreminscalartensorfourthordergravity |