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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2510.10220 |
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| _version_ | 1866908590776778752 |
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| author | Keskin, Ali I. Yaşar, Mehmet Kurt, K. |
| author_facet | Keskin, Ali I. Yaşar, Mehmet Kurt, K. |
| contents | In this work, we study early-time inflation within a class of $f(R, ϕ, X)$ gravity models under a constant-roll condition. Employing a generalized potential of the form $V(ϕ)^σ$, we derive expressions for the spectral index $n_s$ and tensor-to-scalar ratio $r$, demonstrating that the inflationary dynamics are primarily governed by the parameter $σ$ and the shape of the potential. At the upper limit of $n_s$, we obtain a de Sitter-like phase, while at the lower limit, the model transitions to a quintessence-like phase through an effective oscillating equation of state parameter (EoS). Therefore, under the tuning parameter $σ< 1$, the model exhibits a smooth transition from a de Sitter-like phase to a quintessence-like phase via the oscillating EoS parameter. The resulting predictions are consistent with recent observations from the Atacama Cosmology Telescope (ACT), combined with CMB lensing and DESI BAO data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,ϕ,X)$ Gravity Keskin, Ali I. Yaşar, Mehmet Kurt, K. General Relativity and Quantum Cosmology In this work, we study early-time inflation within a class of $f(R, ϕ, X)$ gravity models under a constant-roll condition. Employing a generalized potential of the form $V(ϕ)^σ$, we derive expressions for the spectral index $n_s$ and tensor-to-scalar ratio $r$, demonstrating that the inflationary dynamics are primarily governed by the parameter $σ$ and the shape of the potential. At the upper limit of $n_s$, we obtain a de Sitter-like phase, while at the lower limit, the model transitions to a quintessence-like phase through an effective oscillating equation of state parameter (EoS). Therefore, under the tuning parameter $σ< 1$, the model exhibits a smooth transition from a de Sitter-like phase to a quintessence-like phase via the oscillating EoS parameter. The resulting predictions are consistent with recent observations from the Atacama Cosmology Telescope (ACT), combined with CMB lensing and DESI BAO data. |
| title | Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,ϕ,X)$ Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.10220 |