Primordial black holes formation in inflationary $F(R)$ models with scalar fields

Abstract

We construct $F(R)$ gravity models with scalar fields to describe cosmological inflation and formation of primordial black holes (PBHs). By adding the induced gravity term and the fourth-order polynomial potential for the scalar field to the known $F(R)$ gravity model, and using a conformal transformation of the metric, we obtain a two-field chiral cosmological model. For some values of the model parameters, we get that the inflationary parameters of this model are in good agreement with the observations of the cosmic microwave background radiation obtained by the Atacama Cosmology Telescope. The estimation of PBH masses suggests that PBHs could be dark matter candidates.

11 pages, 3 figures, v2: typos corrected, references added

References in corpus (48)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Disappearing cosmological constant in f(R) gravity
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Primordial Black Holes as Dark Matter: Recent Developments
• Recent Advances on Inflation
• Generating PBHs and small-scale GWs in two-field models of inflation
• Inflation and Primordial Black Holes
• Embedding (R+R^2)-Inflation into Supergravity
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• Constraining Primordial Black Hole Formation from Single-Field Inflation
• Updated constraints on amplitude and tilt of the tensor primordial spectrum
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Hybrid $\alpha$-attractors, primordial black holes and gravitational wave backgrounds
• On the geometrical interpretation of scale-invariant models of inflation
• Consistency relation for $R^p$ inflation
• Analytic extensions of Starobinsky model of inflation
• Primordial black hole dark matter in dilaton-extended two-field Starobinsky inflation
• Keeping the relation between the Starobinsky model and no-scale supergravity ACTive
• Some like it hot: $R^2$ heals Higgs inflation, but does not cool it
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Reconstructing a $f(R)$ theory from the $\alpha$-Attractors
• Curvature corrections to Starobinsky inflation can explain the ACT results
• Enhancement of primordial curvature perturbations in $R^3$-corrected Starobinsky-Higgs inflation
• Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation
• E-models of inflation and primordial black holes
• Enhanced Curvature Perturbation and Primordial Black Hole Formation in Two-stage Inflation with a break
• Scalaron-Higgs inflation reloaded: Higgs-dependent scalaron mass and primordial black hole dark matter
• Slow-roll inflation in (R+R*4) gravity
• The Inflaton that Could : Primordial Black Holes and Second Order Gravitational Waves from Tachyonic Instability induced in Higgs-$R^2$ Inflation
• Why the mean mass of primordial black hole distribution is close to 10$M_{\odot }$
• Renormalization Group Equations of Higgs-$R^2$ Inflation
• Inflation from $f(R)$ theories in gravity's rainbow
• Inflation in $F(R)$ gravity models revisited after ACT
• Quantum loop corrections in the modified gravity model of Starobinsky inflation with primordial black hole production
• Integrable modified gravity cosmological models with an additional scalar field
• Improved model of primordial black hole formation after Starobinsky inflation
• The $R^2$-Higgs inflation: $R^3$ contribution and preheating after ACT and SPT data
• Superpotential method and the amplification of inflationary perturbations
• Reconstruction methods and the amplification of the inflationary spectrum
• New one-parametric extension of the Starobinsky inflationary model
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Primordial black holes save $R^2$ inflation
• Primordial Black Holes in Induced Gravity Inflationary Models with Two Scalar Fields
• GW231123: A Possible Primordial Black Hole Origin
• On Legacy of Starobinsky Inflation
• Alexei Starobinsky and Modern Cosmology