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| Format: | Preprint |
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2025
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| Accès en ligne: | https://arxiv.org/abs/2504.00915 |
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| _version_ | 1866908562428526592 |
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| author | Oikonomou, V. K. |
| author_facet | Oikonomou, V. K. |
| contents | In this work we construct a formalism that can reveal the general characteristics of classes of viable $F(R)$ inflationary theories. The assumptions we make is that the slow-roll era occurs, and that the de Sitter scalaron mass $m^2(R)$ of the $F(R)$ gravity is positive or zero, for both the inflationary and late-time quasi de Sitter eras, a necessary condition for the stability of the de Sitter spacetime. In addition, we require that the de Sitter scalaron mass is also a monotonically increasing function of the Ricci scalar, or it has an extremum. Also the $F(R)$ gravity function is required to depend on the two known fundamental scales in cosmology, the cosmological constant $Λ$ and the mass scale $m_s^2=\frac{κ^2 ρ_m^{(0)}}{3}$, with $ρ_m^{(0)}$ denoting the energy density of the cold dark matter at the present epoch, that is $F(R)=F(R,Λ,m_s^2)$. Using these general assumptions we provide the general features of viable classes of $F(R)$ gravity inflationary theories which remarkably can also simultaneously describe successfully the dark energy era. This unique feature of a unified description of the dark energy and inflationary eras stems from the requirement of the monotonicity of the de Sitter scalaron mass $m^2(R)$. These viable classes are either deformations of the $R^2$ model or $α$-attractors type theories. The analysis of the viability of a general $F(R)$ gravity inflationary theory is reduced in evaluating the parameter $x=\frac{R F_{RRR}}{F_{RR}}$ and the first slow-roll index of the theory, either numerically or approximately. We also disentangle the power-law $F(R)$ gravities from power-law evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00915 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards Model Agnostic $F(R)$ Gravity Inflation Oikonomou, V. K. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory In this work we construct a formalism that can reveal the general characteristics of classes of viable $F(R)$ inflationary theories. The assumptions we make is that the slow-roll era occurs, and that the de Sitter scalaron mass $m^2(R)$ of the $F(R)$ gravity is positive or zero, for both the inflationary and late-time quasi de Sitter eras, a necessary condition for the stability of the de Sitter spacetime. In addition, we require that the de Sitter scalaron mass is also a monotonically increasing function of the Ricci scalar, or it has an extremum. Also the $F(R)$ gravity function is required to depend on the two known fundamental scales in cosmology, the cosmological constant $Λ$ and the mass scale $m_s^2=\frac{κ^2 ρ_m^{(0)}}{3}$, with $ρ_m^{(0)}$ denoting the energy density of the cold dark matter at the present epoch, that is $F(R)=F(R,Λ,m_s^2)$. Using these general assumptions we provide the general features of viable classes of $F(R)$ gravity inflationary theories which remarkably can also simultaneously describe successfully the dark energy era. This unique feature of a unified description of the dark energy and inflationary eras stems from the requirement of the monotonicity of the de Sitter scalaron mass $m^2(R)$. These viable classes are either deformations of the $R^2$ model or $α$-attractors type theories. The analysis of the viability of a general $F(R)$ gravity inflationary theory is reduced in evaluating the parameter $x=\frac{R F_{RRR}}{F_{RR}}$ and the first slow-roll index of the theory, either numerically or approximately. We also disentangle the power-law $F(R)$ gravities from power-law evolution. |
| title | Towards Model Agnostic $F(R)$ Gravity Inflation |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.00915 |