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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.23172 |
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| _version_ | 1866914143074779136 |
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| author | Vitohekpon, Isaac M. Deb, Biswajit Salako, Ines G. Monwanou, V. A. Deshamukhya, Atri |
| author_facet | Vitohekpon, Isaac M. Deb, Biswajit Salako, Ines G. Monwanou, V. A. Deshamukhya, Atri |
| contents | This study provides a concise analysis of inflation under Rastall gravity by examining three types of potential such as the power law, natural, and hilltop potentials. Choosing a minimal interaction between matter and gravity, we derived the modified slow-roll parameters, the scalar spectral index $(n_s)$, the tensor spectral index $(n_T)$, and the tensor-to-scalar ratio $(r)$. For a general power-law potential as well as for Natural & Hilltop inflation, we calculated these quantities and subsequently plotted their trajectories in the $(n_s, r)$ plane. For the power-law potential, only the cases $n = 2/3$ and $n = 1$ satisfy the observational constraint of the Planck 2018 data. The natural potential analysis shows that the mass scale is crucial, with better compatibility achieved at $f = 5M_{p}$ compared to $f = 10M_{p}$. Lastly, the Hilltop potential results indicate that among the cases studied $m = 3/2, 2, 3$, and $4$, only $m = 3/2$ exhibits marginal consistency with observational bounds, while the other cases fail to produce acceptable $(n_s - r)$ trajectories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23172 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Slow-roll Natural & Hilltop Inflation in Rastall Gravity Vitohekpon, Isaac M. Deb, Biswajit Salako, Ines G. Monwanou, V. A. Deshamukhya, Atri General Relativity and Quantum Cosmology High Energy Physics - Theory This study provides a concise analysis of inflation under Rastall gravity by examining three types of potential such as the power law, natural, and hilltop potentials. Choosing a minimal interaction between matter and gravity, we derived the modified slow-roll parameters, the scalar spectral index $(n_s)$, the tensor spectral index $(n_T)$, and the tensor-to-scalar ratio $(r)$. For a general power-law potential as well as for Natural & Hilltop inflation, we calculated these quantities and subsequently plotted their trajectories in the $(n_s, r)$ plane. For the power-law potential, only the cases $n = 2/3$ and $n = 1$ satisfy the observational constraint of the Planck 2018 data. The natural potential analysis shows that the mass scale is crucial, with better compatibility achieved at $f = 5M_{p}$ compared to $f = 10M_{p}$. Lastly, the Hilltop potential results indicate that among the cases studied $m = 3/2, 2, 3$, and $4$, only $m = 3/2$ exhibits marginal consistency with observational bounds, while the other cases fail to produce acceptable $(n_s - r)$ trajectories. |
| title | Slow-roll Natural & Hilltop Inflation in Rastall Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.23172 |