General vacuum solution of modified $F(G)$-gravity with Gauss-Bonnet term
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913275877261312 |
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| author | Shubina, Maria V. |
| author_facet | Shubina, Maria V. |
| contents | In this paper we present a general vacuum solution of the modified Gauss-Bonnet gravity equations for the Friedmann-Lemaître-Robertson-Walker metric. We use an ansatz to reduce the gravitational equations to an ordinary differential equations for function $F=F(G)$. The solution obtained depends on an arbitrary function and is new. As an example we take an arbitrary function in the form of a power one and analyze the solutions for both $ F(G) $ and the main cosmological physical quantities as scale factor, Hubble rate, the Gauss-Bonnet term and the scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13919 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General vacuum solution of modified $F(G)$-gravity with Gauss-Bonnet term Shubina, Maria V. General Relativity and Quantum Cosmology 83D05 In this paper we present a general vacuum solution of the modified Gauss-Bonnet gravity equations for the Friedmann-Lemaître-Robertson-Walker metric. We use an ansatz to reduce the gravitational equations to an ordinary differential equations for function $F=F(G)$. The solution obtained depends on an arbitrary function and is new. As an example we take an arbitrary function in the form of a power one and analyze the solutions for both $ F(G) $ and the main cosmological physical quantities as scale factor, Hubble rate, the Gauss-Bonnet term and the scalar curvature. |
| title | General vacuum solution of modified $F(G)$-gravity with Gauss-Bonnet term |
| topic | General Relativity and Quantum Cosmology 83D05 |
| url | https://arxiv.org/abs/2403.13919 |