More accurate slow-roll approximations for inflation in scalar-tensor theories
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913865677144064 |
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| author | Pozdeeva, Ekaterina O. Skugoreva, Maria A. Toporensky, Alexey V. Vernov, Sergey Yu. |
| author_facet | Pozdeeva, Ekaterina O. Skugoreva, Maria A. Toporensky, Alexey V. Vernov, Sergey Yu. |
| contents | We propose new versions of the slow-roll approximation for inflationary models with nonminimally coupled scalar fields. We derive more precise expressions for the standard slow-roll parameters as functions of the scalar field. To verify the accuracy of the proposed approximations, we consider inflationary models with the induced gravity term and the fourth-order monomial potential. For specific values of the model parameters, this model is the well-known Higgs-driven inflationary model. We investigate the inflationary dynamics in the Jordan frame and come to the conclusion that the proposed versions of the slow-roll approximation are not only more accurate at the end of inflation, but also give essentially more precise estimations for the tensor-to-scalar ratio $r$ and the amplitude of scalar perturbations $A_s$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | More accurate slow-roll approximations for inflation in scalar-tensor theories Pozdeeva, Ekaterina O. Skugoreva, Maria A. Toporensky, Alexey V. Vernov, Sergey Yu. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Mathematical Physics We propose new versions of the slow-roll approximation for inflationary models with nonminimally coupled scalar fields. We derive more precise expressions for the standard slow-roll parameters as functions of the scalar field. To verify the accuracy of the proposed approximations, we consider inflationary models with the induced gravity term and the fourth-order monomial potential. For specific values of the model parameters, this model is the well-known Higgs-driven inflationary model. We investigate the inflationary dynamics in the Jordan frame and come to the conclusion that the proposed versions of the slow-roll approximation are not only more accurate at the end of inflation, but also give essentially more precise estimations for the tensor-to-scalar ratio $r$ and the amplitude of scalar perturbations $A_s$. |
| title | More accurate slow-roll approximations for inflation in scalar-tensor theories |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Mathematical Physics |
| url | https://arxiv.org/abs/2502.13008 |