Non-Gaussian Formation of Primordial Black Holes: Effects on the Threshold

Abstract

Primordial black holes could have been formed in the early universe from sufficiently large cosmological perturbations re-entering the horizon when the Universe is still radiation dominated. These originate from the spectrum of curvature perturbations generated during inflation at small-scales. Because of the non-linear relation between the curvature perturbation $\zeta$ and the overdensity $\delta \rho$, the formation of the primordial black holes is affected by intrinsic non-Gaussianity even though the curvature perturbation is Gaussian. We investigate the impact of this non-Gaussianity on the critical threshold ${\delta }_c$ which measures the excess of mass of the perturbation, finding a relative change with respect to the value obtained using a linear relation between $\zeta$ and $\delta \rho$, of a few percent. This shows that the value of the critical threshold is rather robust against non-linearities. The same holds also when cosmologically interesting values of local primordial non-Gaussianity are added to the curvature perturbation.

24 pages, 6 figures. This last updated version contains minor fine-tunings according to the published one

References in corpus (10)

• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Steepest growth of the power spectrum and primordial black holes
• 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
• Primordial Black Holes from Inflation and non-Gaussianity
• The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
• Curvature profiles as initial conditions for primordial black hole formation
• PBH abundance from random Gaussian curvature perturbations and a local density threshold
• Primordial black hole formation with non-Gaussian curvature perturbations
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation

Cited by in corpus (60)

• Constraints on Primordial Black Holes
• Primordial Black Holes as a dark matter candidate
• Cosmology with the Laser Interferometer Space Antenna
• Did NANOGrav see a signal from primordial black hole formation?
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Primordial Black Holes as Dark Matter Candidates
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
• Anatomy of single-field inflationary models for primordial black holes
• Non-linear statistics of primordial black holes from gaussian curvature perturbations
• PBH in single field inflation: the effect of shape dispersion and non-Gaussianities
• Logarithmic Duality of the Curvature Perturbation
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• Hunt for Light Primordial Black Hole Dark Matter with Ultra-High-Frequency Gravitational Waves
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Gravitational Wave Anisotropies from Primordial Black Holes
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• On the slope of curvature power spectrum in non-attractor inflation
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• On the Primordial Black Hole Mass Function for Broad Spectra
• Peaks and primordial black holes: the effect of non-Gaussianity
• Initial clustering and the primordial black hole merger rate
• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
• Primordial black holes in loop quantum cosmology: The effect on the threshold
• Curbing PBHs with PTAs
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
• Planck Constraints and Gravitational Wave Forecasts for Primordial Black Hole Dark Matter Seeded by Multifield Inflation
• Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation
• Solving peak theory in the presence of local non-gaussianities
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• NANOGrav signal as mergers of Stupendously Large Primordial Black Holes
• Could PBHs and secondary GWs have originated from squeezed initial states?
• Large fluctuations and Primordial Black Holes
• The Primordial Black Hole Abundance: The Broader, the Better
• Toward the primordial black hole formation threshold in a time-dependent equation-of-state background
• Constraining $F(R)$ bouncing cosmologies with primordial black holes
• Primordial black holes and inflation from double-well potentials
• Primordial black holes from an inflationary potential valley
• Small-scale primordial fluctuations in the 21cm Dark Ages signal
• Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum
• Exploring Critical Overdensity Thresholds in Inflationary Models of Primordial Black Holes Formation
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• $\mu$-distortion around stupendously large primordial black holes
• Primordial black holes: constraints, potential evidence and prospects
• Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach
• Angular bispectrum and trispectrum of scalar-induced gravitational waves: all contributions from primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Scalar induced gravitational waves review
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Impact of nonlinear overdensity statistics on primordial black hole abundance
• Non-gaussianities for primordial black hole formation
• Non-Gaussianities and Primordial Black Holes
• Primordial blackhole formation: Exploring chaotic potential with a sharp step via the GLMS perspective
• Primordial black holes and scalar-induced gravitational waves from the polynomial attractor model
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation
• Primordial black hole formation in k-inflation models