Investigating $f(R)$-Inflation: background evolution and constraints
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| author | Fazzari, Elisa De Leo, Chiara Montani, Giovanni Martinelli, Matteo Melchiorri, Alessandro Cañas-Herrera, Guadalupe |
| author_facet | Fazzari, Elisa De Leo, Chiara Montani, Giovanni Martinelli, Matteo Melchiorri, Alessandro Cañas-Herrera, Guadalupe |
| contents | In this work, we investigate the possibility of generating an inflationary mechanism within the framework of a metric-$f(R)$ modified gravity theory, formulated in the Jordan frame. We explore whether the scalar field, non-minimally coupled to gravity and emerging in the Jordan frame, can play the role of the primordial inflaton. Particular attention is devoted to constructing a dynamical scenario in the Jordan frame that exhibits a slow-rolling phase for the scalar field and admits a quasi-de Sitter solution for cosmic evolution. To ensure consistency with the standard cosmological model, we impose a matching condition with the $Λ$CDM model at the end of the inflationary phase. Furthermore, to address the problem of the absence of matter after inflation, we consider a radiation-type particle creation process that maintains an approximately constant energy density. We test our theoretical model against background observational data, specifically Pantheon+ calibrated with SH0ES and DESI calibrated with BBN. We asses its viability and discuss implications for alleviating the Hubble constant tension. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_13890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Investigating $f(R)$-Inflation: background evolution and constraints Fazzari, Elisa De Leo, Chiara Montani, Giovanni Martinelli, Matteo Melchiorri, Alessandro Cañas-Herrera, Guadalupe Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology In this work, we investigate the possibility of generating an inflationary mechanism within the framework of a metric-$f(R)$ modified gravity theory, formulated in the Jordan frame. We explore whether the scalar field, non-minimally coupled to gravity and emerging in the Jordan frame, can play the role of the primordial inflaton. Particular attention is devoted to constructing a dynamical scenario in the Jordan frame that exhibits a slow-rolling phase for the scalar field and admits a quasi-de Sitter solution for cosmic evolution. To ensure consistency with the standard cosmological model, we impose a matching condition with the $Λ$CDM model at the end of the inflationary phase. Furthermore, to address the problem of the absence of matter after inflation, we consider a radiation-type particle creation process that maintains an approximately constant energy density. We test our theoretical model against background observational data, specifically Pantheon+ calibrated with SH0ES and DESI calibrated with BBN. We asses its viability and discuss implications for alleviating the Hubble constant tension. |
| title | Investigating $f(R)$-Inflation: background evolution and constraints |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.13890 |