dorsal/arxiv
View SchemaConstant-roll $\beta$-exponential inflation: Palatini formalism
| Authors | Ozan Sargın |
|---|---|
| Categories | |
| ArXiv ID | 2601.09664vv1 |
| URL | https://arxiv.org/abs/2601.09664 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
In this paper, we explore the inflationary dynamics of the $\beta$-exponential potential model, where a scalar field couples to quadratic $(R + R^2)$ gravity. In this model, the inflaton is the field that determines the size of the extra dimension. We employ the Palatini formalism to derive the resulting Einstein-frame generalized $k$-inflation effective theory, which we analyze under the assumption that the constant-roll condition is satisfied. We scan the parameter space for inflationary predictions, specifically the spectral index $n_s$ and the tensor-to-scalar ratio $r$, ensuring consistency with the results from ACT DR6. The compliant regions are depicted accordingly. For a suitable range of the model parameters, the values obtained for the inflationary observables align with the most recent observations by the Atacama Cosmology Telescope (ACT) collaboration and/or the Planck mission.
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"abstract": "In this paper, we explore the inflationary dynamics of the $\\beta$-exponential potential model, where a scalar field couples to quadratic $(R + R^2)$ gravity. In this model, the inflaton is the field that determines the size of the extra dimension. We employ the Palatini formalism to derive the resulting Einstein-frame generalized $k$-inflation effective theory, which we analyze under the assumption that the constant-roll condition is satisfied.\n We scan the parameter space for inflationary predictions, specifically the spectral index $n_s$ and the tensor-to-scalar ratio $r$, ensuring consistency with the results from ACT DR6. The compliant regions are depicted accordingly. For a suitable range of the model parameters, the values obtained for the inflationary observables align with the most recent observations by the Atacama Cosmology Telescope (ACT) collaboration and/or the Planck mission.",
"arxiv_id": "2601.09664",
"authors": [
"Ozan Sarg\u0131n"
],
"categories": [
"gr-qc",
"astro-ph.CO",
"hep-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Constant-roll $\\beta$-exponential inflation: Palatini formalism",
"url": "https://arxiv.org/abs/2601.09664",
"version": "v1"
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