The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations
Abstract We consider the Brans–Dicke theory in non-metricity gravity, which belongs to the family of symmetric teleparallel scalar–tensor theories. Our focus lies in exploring the implications of the conformal transformation, as we derive the conformal equivalent theory in the Einstein frame, distin...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12487-1 |
| _version_ | 1797209115046445056 |
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| author | Andronikos Paliathanasis |
| author_facet | Andronikos Paliathanasis |
| author_sort | Andronikos Paliathanasis |
| collection | DOAJ |
| description | Abstract We consider the Brans–Dicke theory in non-metricity gravity, which belongs to the family of symmetric teleparallel scalar–tensor theories. Our focus lies in exploring the implications of the conformal transformation, as we derive the conformal equivalent theory in the Einstein frame, distinct from the minimally coupled scalar field theory. The fundamental principle of the conformal transformation suggests the mathematical equivalence of the related theories. However, to thoroughly analyze the impact on physical variables, we investigate the spatially flat Friedmann–Lemaître–Robertson–Walker geometry, defining the connection in the non-coincidence gauge. We construct exact solutions for the cosmological model in one frame and compare the physical properties in the conformal related frame. Surprisingly, we find that the general physical properties of the exact solutions remain invariant under the conformal transformation. Finally, we construct, for the first time, an analytic solution for the symmetric teleparallel scalar–tensor cosmology. |
| first_indexed | 2024-03-07T14:44:20Z |
| format | Article |
| id | doaj.art-10cd1376aecc4fe88c5f4836998c2126 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T09:49:34Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-10cd1376aecc4fe88c5f4836998c21262024-04-14T11:27:12ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-02-0184211210.1140/epjc/s10052-024-12487-1The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformationsAndronikos Paliathanasis0Institute of Systems Science, Durban University of TechnologyAbstract We consider the Brans–Dicke theory in non-metricity gravity, which belongs to the family of symmetric teleparallel scalar–tensor theories. Our focus lies in exploring the implications of the conformal transformation, as we derive the conformal equivalent theory in the Einstein frame, distinct from the minimally coupled scalar field theory. The fundamental principle of the conformal transformation suggests the mathematical equivalence of the related theories. However, to thoroughly analyze the impact on physical variables, we investigate the spatially flat Friedmann–Lemaître–Robertson–Walker geometry, defining the connection in the non-coincidence gauge. We construct exact solutions for the cosmological model in one frame and compare the physical properties in the conformal related frame. Surprisingly, we find that the general physical properties of the exact solutions remain invariant under the conformal transformation. Finally, we construct, for the first time, an analytic solution for the symmetric teleparallel scalar–tensor cosmology.https://doi.org/10.1140/epjc/s10052-024-12487-1 |
| spellingShingle | Andronikos Paliathanasis The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations European Physical Journal C: Particles and Fields |
| title | The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations |
| title_full | The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations |
| title_fullStr | The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations |
| title_full_unstemmed | The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations |
| title_short | The Brans–Dicke field in non-metricity gravity: cosmological solutions and conformal transformations |
| title_sort | brans dicke field in non metricity gravity cosmological solutions and conformal transformations |
| url | https://doi.org/10.1140/epjc/s10052-024-12487-1 |
| work_keys_str_mv | AT andronikospaliathanasis thebransdickefieldinnonmetricitygravitycosmologicalsolutionsandconformaltransformations AT andronikospaliathanasis bransdickefieldinnonmetricitygravitycosmologicalsolutionsandconformaltransformations |