Numerical Study of Some Generalizations of the Starobinsky Inflationary Model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911671764647936 |
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| author | Zambrano, Jordan Rodríguez, Ángel Alvear, Melisa Rojas, Clara |
| author_facet | Zambrano, Jordan Rodríguez, Ángel Alvear, Melisa Rojas, Clara |
| contents | In this work, we perform a numerical study of three Starobinsky--type inflationary scenarios: the $α$--Starobinsky inflationary model, the power--law Starobinsky inflationary model, and the power--law $α$--Starobinsky inflationary model. For an appropriate choice of parameters, each scenario reproduces the standard Starobinsky limit. For each case, we derive the relevant slow--roll expressions in order to compute numerically the scalar and tensor power spectra over the corresponding parameter space and evaluate the associated inflationary observables. Finally, we provide a comparative analysis in the $(n_\sca,A_\sca)$ and $(r,n_\sca)$ parameter spaces using contour plots. Our results indicate that, for certain choices of parameters, the $α$--Starobinsky model and the power--law $α$--Starobinsky model are favored by \textit{Planck} 2018 observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10728 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Numerical Study of Some Generalizations of the Starobinsky Inflationary Model Zambrano, Jordan Rodríguez, Ángel Alvear, Melisa Rojas, Clara Cosmology and Nongalactic Astrophysics In this work, we perform a numerical study of three Starobinsky--type inflationary scenarios: the $α$--Starobinsky inflationary model, the power--law Starobinsky inflationary model, and the power--law $α$--Starobinsky inflationary model. For an appropriate choice of parameters, each scenario reproduces the standard Starobinsky limit. For each case, we derive the relevant slow--roll expressions in order to compute numerically the scalar and tensor power spectra over the corresponding parameter space and evaluate the associated inflationary observables. Finally, we provide a comparative analysis in the $(n_\sca,A_\sca)$ and $(r,n_\sca)$ parameter spaces using contour plots. Our results indicate that, for certain choices of parameters, the $α$--Starobinsky model and the power--law $α$--Starobinsky model are favored by \textit{Planck} 2018 observations. |
| title | Numerical Study of Some Generalizations of the Starobinsky Inflationary Model |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2605.10728 |