Legendre scalarization in gravity and cosmology
Abstract We propose a new formulation of f(R) gravity, dubbed scalarized f(R) gravity, in which the Legendre transform is included as a dynamical term. This leads to a theory with second-order field equations that describes general relativity with a self-interacting scalar field, without requiring t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11628-2 |
| _version_ | 1797789588495794176 |
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| author | Spiros Cotsakis Jose P. Mimoso John Miritzis |
| author_facet | Spiros Cotsakis Jose P. Mimoso John Miritzis |
| author_sort | Spiros Cotsakis |
| collection | DOAJ |
| description | Abstract We propose a new formulation of f(R) gravity, dubbed scalarized f(R) gravity, in which the Legendre transform is included as a dynamical term. This leads to a theory with second-order field equations that describes general relativity with a self-interacting scalar field, without requiring the introduction of conformal frames. We demonstrate that the quadratic version of scalarized f(R) gravity reduces to general relativity with a massive scalar field, and we explore its implications for Friedmann cosmology. Our findings suggest that scalarized f(R) gravity may lead to simplified descriptions of cosmological applications, while the proposed formulation could offer a new perspective on the relationship between f(R) gravity and scalar–tensor theories. |
| first_indexed | 2024-03-13T01:52:49Z |
| format | Article |
| id | doaj.art-bcfc94c25bd24c9ab0cb08560f731666 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T01:52:49Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-bcfc94c25bd24c9ab0cb08560f7316662023-07-02T11:24:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-018351610.1140/epjc/s10052-023-11628-2Legendre scalarization in gravity and cosmologySpiros Cotsakis0Jose P. Mimoso1John Miritzis2Institute of Gravitation and Cosmology, RUDN UniversityDepartamento de Física and Instituto de Astrofísica e Ciências do Espaço Faculdade de Ciências, Universidade de LisboaDepartment of Marine Sciences, University of the Aegean, University HillAbstract We propose a new formulation of f(R) gravity, dubbed scalarized f(R) gravity, in which the Legendre transform is included as a dynamical term. This leads to a theory with second-order field equations that describes general relativity with a self-interacting scalar field, without requiring the introduction of conformal frames. We demonstrate that the quadratic version of scalarized f(R) gravity reduces to general relativity with a massive scalar field, and we explore its implications for Friedmann cosmology. Our findings suggest that scalarized f(R) gravity may lead to simplified descriptions of cosmological applications, while the proposed formulation could offer a new perspective on the relationship between f(R) gravity and scalar–tensor theories.https://doi.org/10.1140/epjc/s10052-023-11628-2 |
| spellingShingle | Spiros Cotsakis Jose P. Mimoso John Miritzis Legendre scalarization in gravity and cosmology European Physical Journal C: Particles and Fields |
| title | Legendre scalarization in gravity and cosmology |
| title_full | Legendre scalarization in gravity and cosmology |
| title_fullStr | Legendre scalarization in gravity and cosmology |
| title_full_unstemmed | Legendre scalarization in gravity and cosmology |
| title_short | Legendre scalarization in gravity and cosmology |
| title_sort | legendre scalarization in gravity and cosmology |
| url | https://doi.org/10.1140/epjc/s10052-023-11628-2 |
| work_keys_str_mv | AT spiroscotsakis legendrescalarizationingravityandcosmology AT josepmimoso legendrescalarizationingravityandcosmology AT johnmiritzis legendrescalarizationingravityandcosmology |