New Integrable Chiral Cosmological Models with Two Scalar Fields
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912119919738880 |
|---|---|
| author | Ivanov, Vsevolod R. Vernov, Sergey Yu. |
| author_facet | Ivanov, Vsevolod R. Vernov, Sergey Yu. |
| contents | We construct integrable chiral cosmological models with two scalar fields and potentials represented in terms of hyperbolic functions. Using the conformal transformation of the metric and the corresponding models with induced gravity terms, we obtain the general solutions in the spatially flat, open and closed Friedmann universes and the corresponding integrals of motion. The obtained general solutions can be written in terms of the Jacobi elliptic functions of the conformal time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Integrable Chiral Cosmological Models with Two Scalar Fields Ivanov, Vsevolod R. Vernov, Sergey Yu. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Mathematical Physics We construct integrable chiral cosmological models with two scalar fields and potentials represented in terms of hyperbolic functions. Using the conformal transformation of the metric and the corresponding models with induced gravity terms, we obtain the general solutions in the spatially flat, open and closed Friedmann universes and the corresponding integrals of motion. The obtained general solutions can be written in terms of the Jacobi elliptic functions of the conformal time. |
| title | New Integrable Chiral Cosmological Models with Two Scalar Fields |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Mathematical Physics |
| url | https://arxiv.org/abs/2407.12732 |