Primordial black holes and induced gravitational waves in $k$-inflation

Abstract

Recent observational constraints indicate that primordial black holes (PBHs) with the mass scale $\sim 10^{-12}{M}_{\odot }$ can explain most of dark matter in the Universe. To produce this kind of PBHs, we need an enhance in the primordial scalar curvature perturbations to the order of $\mathcal{O}(10^{-2})$ at the scale $k\sim 10^{12}\mathrm{Mp}{\mathrm{c}}^{-1}$. Here, we investigate the production of PBHs and induced gravitational waves (GWs) in the framework of \textbf{$k$-inflation}. We solve numerically the Mukhanov-Sasaki equation to obtain the primordial scalar power spectrum. In addition, we estimate the PBHs abundance $f_{\text{PBH}}^{\text{peak}}$ as well as the energy density parameter ${\Omega }_{\mathrm{GW},0}$ of induced GWs. Interestingly enough is that for a special set of model parameters, we estimate the mass scale and the abundance of PBHs as $\sim \mathcal{O}(10^{-13})M_{\odot }$ and $f_{\text{PBH}}^{\text{peak}}=0.96$, respectively. This confirms that the mechanism of PBHs production in our inflationary model can justify most of dark matter. Furthermore, we evaluate the GWs energy density parameter and conclude that it behaves like a power-law function ${\Omega }_{\mathrm{GW}}\sim (f/f_c{)}^n$ where in the infrared limit $f\ll f_c$, the power index reads $n=3-2/\ln (f_c/f)$.

arXiv comment17 pages, 4 figures, 2 tables

References in corpus (96)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced LIGO
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Planck 2018 results. X. Constraints on inflation
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• TianQin: a space-borne gravitational wave detector
• k-Inflation
• Tests of general relativity with GW150914
• The Cosmic Microwave Background Spectrum from the Full COBE/FIRAS Data Set
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Did LIGO detect dark matter?
• New cosmological constraints on primordial black holes
• Perturbations in k-inflation
• Primordial Black Holes as Dark Matter
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Density Perturbations and Black Hole Formation in Hybrid Inflation
• Gravitational-wave sensitivity curves
• The cosmological gravitational wave background from primordial density perturbations
• The international pulsar timing array project: using pulsars as a gravitational wave detector
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• Microlensing constraints on primordial black holes with the Subaru/HSC Andromeda observation
• G-inflation: inflation driven by the Galileon field
• Cosmic microwave background limits on accreting primordial black holes
• The merger rate of primordial-black-hole binaries
• The North American Nanohertz Observatory for Gravitational Waves
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Threshold of primordial black hole formation
• Primordial black hole dark matter from single field inflation
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• Primordial Black Holes and Slow-Roll Violation
• Primordial black hole formation in the early universe: critical behaviour and self-similarity
• CMB bounds on disk-accreting massive Primordial Black Holes
• Primordial Black Hole production in Critical Higgs Inflation
• Scalaron from $R^2$-gravity as a Heavy Field
• Galileon inflation
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• The Primordial Black Hole Dark Matter - LISA Serendipity
• Dark Matter Triggers of Supernovae
• Inflationary Primordial Black Holes as All Dark Matter
• Calculating the mass spectrum of primordial black holes
• Gravitational waves induced by scalar perturbations as probes of the small-scale primordial spectrum
• The Parkes Pulsar Timing Array
• Testing Primordial Black Holes as Dark Matter through LISA
• Signatures of primordial black hole dark matter
• Clusters of primordial black holes
• Universal infrared scaling of gravitational wave background spectra
• New constraints on primordial black holes abundance from femtolensing of gamma-ray bursts
• Primordial Black Holes from $\alpha$-attractors
• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Primordial Black Holes from a tiny bump/dip in the Inflaton potential
• Generating PBHs and small-scale GWs in two-field models of inflation
• Primordial Black Holes from Sound Speed Resonance during Inflation
• Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
• Non-linear metric perturbations and production of primordial black holes
• Induced gravitational waves in a general cosmological background
• Mechanisms for Primordial Black Hole Production in String Theory
• Double inflation as a single origin of primordial black holes for all dark matter and LIGO observations
• Curvature profiles as initial conditions for primordial black hole formation
• Primordial Black Holes from Inflation with Nonminimal Derivative Coupling
• Primordial black hole formation with non-Gaussian curvature perturbations
• Primordial black holes and secondary gravitational waves from k/G inflation
• The European Pulsar Timing Array: current efforts and a LEAP toward the future
• When Primordial Black Holes from Sound Speed Resonance Meet a Stochastic Background of Gravitational Waves
• Log-dependent slope of scalar induced gravitational waves in the infrared regions
• Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation
• Probing the Universe through the Stochastic Gravitational Wave Background
• Primordial black holes from sound speed resonance in the inflaton-curvaton mixed scenario
• Black hole formation from a general quadratic action for inflationary primordial fluctuations
• Resonant multiple peaks in the induced gravitational waves
• Scalar induced gravitational waves in inflation with gravitationally enhanced friction
• Probing Primordial Features with the Stochastic Gravitational Wave Background
• Low-frequency Gravitational Waves from Double-inflection-point Inflation
• Revisiting constraints on small scale perturbations from big-bang nucleosynthesis
• Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes
• Primordial black holes and secondary gravitational waves from inflationary model with a non-canonical kinetic term
• Non-Canonical Inflation and Primordial Black Holes Production
• Constraints on the primordial curvature power spectrum from primordial black holes
• Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
• Approximate gauge independence of the induced gravitational wave spectrum
• Primordial Black Holes from Cosmic Domain Walls
• Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves
• Potential-driven Galileon inflation
• Generalized Non-Minimal Derivative Coupling: Application to Inflation and Primordial Black Hole Production
• Chaotic inflation in modified gravitational theories
• Primordial black hole formation in inflationary $\alpha$-attractor models
• Detuning primordial black hole dark matter with early matter domination and axion monodromy
• Ultra slow-roll G-inflation
• Slow roll in simple non-canonical inflation
• Primordial Non-Gaussianity from G-inflation
• Resurrecting the exponential and inverse power-law potentials in non-canonical inflation
• Galileon intermediate inflation
• Inflation with Derivative Self-interaction and Coupling to Gravity

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• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
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• Non-Gaussianity and Secondary Gravitational Waves from Primordial Black Holes Production in $\alpha$-attractor Inflation
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• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
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• Primordial black holes from an inflationary potential valley
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
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• 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
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• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Growth of power spectrum due to decrease of sound speed during inflation
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Primordial non-Guassianity in inflation with gravitationally enhanced friction
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• Primordial black holes in non-minimal Gauss-Bonnet inflation in light of the PTA data
• Scalar induced gravitational waves review
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Probing Reheating Phase via Non-Helical Magnetogenesis and Secondary Gravitational Waves
• A relativistic compact stellar model of anisotropic quark matter mixed with dark energy
• Primordial Black Hole Production in Natural and Hilltop Inflation
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Generating large primordial fluctuations in single-field inflation for PBH formation
• Minimal Magnetogenesis: The Role of Inflationary Perturbations and ALPs, and Its Gravitational Wave Signatures
• Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model