Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame
The Noether symmetry analysis is applied for the study of a multifield cosmological model in a spatially flat FLRW background geometry. The gravitational Action Integral consists of two scalar fields, the Brans–Dicke field and a second scalar field minimally coupled to gravity. However, the two scal...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/6/325 |
| _version_ | 1797481734938296320 |
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| author | Andronikos Paliathanasis |
| author_facet | Andronikos Paliathanasis |
| author_sort | Andronikos Paliathanasis |
| collection | DOAJ |
| description | The Noether symmetry analysis is applied for the study of a multifield cosmological model in a spatially flat FLRW background geometry. The gravitational Action Integral consists of two scalar fields, the Brans–Dicke field and a second scalar field minimally coupled to gravity. However, the two scalar fields interact in kinetic terms. This multifield has been found to describe the equivalent of hyperbolic inflation in the Jordan frame. The application of Noether’s theorems constrains the free parameters of the model so that conservation laws exist. We find that the field equations form an integrable dynamical system, and the analytic solution is derived. |
| first_indexed | 2024-03-09T22:18:46Z |
| format | Article |
| id | doaj.art-f8693e0d45cd466e86e6c6ed078408ce |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T22:18:46Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-f8693e0d45cd466e86e6c6ed078408ce2023-11-23T19:19:19ZengMDPI AGUniverse2218-19972022-06-018632510.3390/universe8060325Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan FrameAndronikos Paliathanasis0Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South AfricaThe Noether symmetry analysis is applied for the study of a multifield cosmological model in a spatially flat FLRW background geometry. The gravitational Action Integral consists of two scalar fields, the Brans–Dicke field and a second scalar field minimally coupled to gravity. However, the two scalar fields interact in kinetic terms. This multifield has been found to describe the equivalent of hyperbolic inflation in the Jordan frame. The application of Noether’s theorems constrains the free parameters of the model so that conservation laws exist. We find that the field equations form an integrable dynamical system, and the analytic solution is derived.https://www.mdpi.com/2218-1997/8/6/325cosmologyscalar fieldinflationanalytic solutionsnoether symmetries |
| spellingShingle | Andronikos Paliathanasis Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame Universe cosmology scalar field inflation analytic solutions noether symmetries |
| title | Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame |
| title_full | Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame |
| title_fullStr | Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame |
| title_full_unstemmed | Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame |
| title_short | Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame |
| title_sort | analytic solution and noether symmetries for the hyperbolic inflationary model in the jordan frame |
| topic | cosmology scalar field inflation analytic solutions noether symmetries |
| url | https://www.mdpi.com/2218-1997/8/6/325 |
| work_keys_str_mv | AT andronikospaliathanasis analyticsolutionandnoethersymmetriesforthehyperbolicinflationarymodelinthejordanframe |