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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2409.07678 |
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| _version_ | 1866917776309878784 |
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| author | Ribeiro, B. W. Macêdo, I. M. Carvalho, F. C. |
| author_facet | Ribeiro, B. W. Macêdo, I. M. Carvalho, F. C. |
| contents | A new inflationary scenario driven by a slowly-rolling homogeneous scalar field whose potential $V\left(φ\right)$ is given by a generalized exponential function is investigated. Within the {\it slow-roll} approximation we obtain the main predictions of the model and compare them with current data from cosmic microwave background and large-scale structure observations. We show that this single scalar field model admits a wider set of solutions than usual exponential scenarios and predicts acceptable values of the spectral index, running of the spectral index and tensor-to-scalar ratio for the remaining number of {\it e}-folds lying in the interval $N = 55 \pm 5$ and an energy scale on which $λ\geq \sqrt{2}$; in particular, we observe that the value of the model parameter $κ$ depends on the analysis. Finally, the primordial local non-Gaussianity is briefly discussed where we conclude that $k\gtrsim 0.02$ for $f_\text{NL}^\text{local} \ll 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized inflation in the context of $κ$-deformed theories Ribeiro, B. W. Macêdo, I. M. Carvalho, F. C. Cosmology and Nongalactic Astrophysics A new inflationary scenario driven by a slowly-rolling homogeneous scalar field whose potential $V\left(φ\right)$ is given by a generalized exponential function is investigated. Within the {\it slow-roll} approximation we obtain the main predictions of the model and compare them with current data from cosmic microwave background and large-scale structure observations. We show that this single scalar field model admits a wider set of solutions than usual exponential scenarios and predicts acceptable values of the spectral index, running of the spectral index and tensor-to-scalar ratio for the remaining number of {\it e}-folds lying in the interval $N = 55 \pm 5$ and an energy scale on which $λ\geq \sqrt{2}$; in particular, we observe that the value of the model parameter $κ$ depends on the analysis. Finally, the primordial local non-Gaussianity is briefly discussed where we conclude that $k\gtrsim 0.02$ for $f_\text{NL}^\text{local} \ll 1$. |
| title | Generalized inflation in the context of $κ$-deformed theories |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2409.07678 |