Primordial black holes formation in the inflationary model with field-dependent kinetic term for quartic and natural potentials

Abstract

Within the framework of inflationary model with field-dependent kinetic term for quartic and natural potentials, we investigate generation of the primordial black holes (PBHs) and induced gravitational waves (GWs). In this setup, we consider a kinetic function as $G(\varphi )=g_I(\varphi )(1+g_{II}(\varphi ))$ and show that in the presence of first term $g_I(\varphi )$ both quartic and natural potentials, in contrast to the standard model of inflation, can be consistent, with the 68\% CL of Planck observations. Besides, the second term $g_{II}(\varphi )$ can cause a significant enhancement in the primordial curvature perturbations at the small scales which results the PBHs formation. For the both potentials, we obtain an enhancement in the scalar power spectrum at the scales $k\sim 10^{12}\mathrm{Mp}{\mathrm{c}}^{-1}$, $10^8\mathrm{Mp}{\mathrm{c}}^{-1}$, and $10^5\mathrm{Mp}{\mathrm{c}}^{-1}$, which causes PBHs production in mass scales around $10^{-13}{M}_{\odot }$, $10^{-5}{M}_{\odot }$, and $10M_{\odot }$, respectively. Observational constraints confirm that PBHs with a mass scale of $10^{-13}{M}_{\odot }$ can constitute the total of dark matter in the universe. Furthermore, we estimate the energy density parameter of induced GWs which can be examined by the observation. Also we conclude that it can be parametrized as a power-law function ${\Omega }_{\mathrm{GW}}\sim (f/f_c{)}^n$, where the power index equals $n=3-2/\ln (f_c/f)$ in the infrared limit $f\ll f_c$.

25 pages, 7 figures, 5 tables

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• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
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• Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration
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• Non-Gaussianity and Secondary Gravitational Waves from Primordial Black Holes Production in $\alpha$-attractor Inflation
• Scalar induced gravity waves from ultra slow-roll Galileon inflation
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
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• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Primordial black holes in non-canonical scalar field inflation driven by quartic potential in the presence of bump
• Primordial black holes and secondary gravitational waves from generalized power-law non-canonical inflation with quartic potential
• Limits on planetary-mass primordial black holes from the OGLE high-cadence survey of the Magellanic Clouds
• Large fluctuations and Primordial Black Holes
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Primordial black holes in scalar field inflation coupled to the Gauss-Bonnet term with fractional power-law potentials
• Primordial black holes generated by fast-roll mechanism in non-canonical natural inflation
• Scalar induced gravitational waves from Chern-Simons gravity during inflation era
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Growth of power spectrum due to decrease of sound speed during inflation
• Primordial non-Guassianity in inflation with gravitationally enhanced friction
• Resonant amplification of curvature perturbations in inflation model with periodical derivative coupling
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Primordial black holes in non-minimal Gauss-Bonnet inflation in light of the PTA data
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Scalar induced gravitational waves in chiral scalar-tensor theory of gravity
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Generating large primordial fluctuations in single-field inflation for PBH formation
• The holographic space-time and black hole remnants as dark matter
• Scalar-induced gravitational waves in spatially covariant gravity
• Reheating and relic gravitational waves as remedies for degeneracies of non-canonical natural inflation
• Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model