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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2312.16670 |
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| _version_ | 1866913214585896960 |
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| author | Shubina, Maria |
| author_facet | Shubina, Maria |
| contents | In this paper we present a number of examples of exact solutions for the Friedmann cosmological equation for metric $ F(R) $ gravity model. Emphasis was placed on the possibility of obtaining exact time dependences of the main cosmological physical quantities: scale factor, scalar curvature, Hubble rate and function $ F(R) $. For this purpose an ansatz was used to reduce the Friedmann equation to an ordinary differential equation for function $ F = F(H^{2})$. This made it possible to obtain a number of exact solutions, both already known and new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16670 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some exact solutions of Friedmann cosmological equation Shubina, Maria General Relativity and Quantum Cosmology In this paper we present a number of examples of exact solutions for the Friedmann cosmological equation for metric $ F(R) $ gravity model. Emphasis was placed on the possibility of obtaining exact time dependences of the main cosmological physical quantities: scale factor, scalar curvature, Hubble rate and function $ F(R) $. For this purpose an ansatz was used to reduce the Friedmann equation to an ordinary differential equation for function $ F = F(H^{2})$. This made it possible to obtain a number of exact solutions, both already known and new. |
| title | Some exact solutions of Friedmann cosmological equation |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.16670 |