$f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911309928333312 |
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| author | Dimakis, Nikolaos Giacomini, Alex Leon, Genly Paliathanasis, Andronikos Pozdeeva, Ekaterina Vernov, Sergey |
| author_facet | Dimakis, Nikolaos Giacomini, Alex Leon, Genly Paliathanasis, Andronikos Pozdeeva, Ekaterina Vernov, Sergey |
| contents | We examine the cosmological dynamics of Einstein-Gauss-Bonnet gravity models in a four-dimensional spatially flat FLRW metric. These models are described by $f\left( R,\mathcal{G}\right) =f\left( R+μ\mathcal{G}\right) $ theory of gravity. They are equivalent to models linear in the Ricci scalar $R$ and in the Gauss-Bonnet scalar $\mathcal{G}$ with one nonminimally coupled scalar field without kinetic term. We analyze the stability of the de Sitter solutions and construct the phase space of the field equations to investigate the cosmological evolution. We show that $f\left( R+μ\mathcal{G}\right) $-theory provides a double inflationary epoch, this can be used to unify the early-time and late-time acceleration phases of the universe. Moreover, we discuss the initial value problem for theory to be cosmologically viable. Finally, the effects of the cold dark matter in cosmic evolution are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background Dimakis, Nikolaos Giacomini, Alex Leon, Genly Paliathanasis, Andronikos Pozdeeva, Ekaterina Vernov, Sergey General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We examine the cosmological dynamics of Einstein-Gauss-Bonnet gravity models in a four-dimensional spatially flat FLRW metric. These models are described by $f\left( R,\mathcal{G}\right) =f\left( R+μ\mathcal{G}\right) $ theory of gravity. They are equivalent to models linear in the Ricci scalar $R$ and in the Gauss-Bonnet scalar $\mathcal{G}$ with one nonminimally coupled scalar field without kinetic term. We analyze the stability of the de Sitter solutions and construct the phase space of the field equations to investigate the cosmological evolution. We show that $f\left( R+μ\mathcal{G}\right) $-theory provides a double inflationary epoch, this can be used to unify the early-time and late-time acceleration phases of the universe. Moreover, we discuss the initial value problem for theory to be cosmologically viable. Finally, the effects of the cold dark matter in cosmic evolution are discussed. |
| title | $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2505.02663 |