Exploring Critical Overdensity Thresholds in Inflationary Models of Primordial Black Holes Formation

Abstract

In this paper we study the production of Primordial Black Holes (PBHs) from inflation in order to explain the Dark Mater (DM) in the Universe. The evaluation of the fractional PBHs abundance to DM is sensitive to the value of the threshold ${\delta }_{\mathrm{c}}$ and the exact value of ${\delta }_{\mathrm{c}}$ is sensitive to the specific shape of the cosmological fluctuations. Different mechanisms producing PBHs lead to different thresholds and hence to different fractional abundances of PBHs. In this study, we examine various classes of inflationary models proposed in the existing literature to elucidate the formation of PBHs and we evaluate numerically the associated threshold values. Having evaluated the thresholds we compute the abundances of PBHs to DM using the Press Schecter approach and the Peak Theory. Given the influence of different power spectra on the thresholds, we investigate whether these inflationary models can successfully account for a significant fraction of DM. Moreover, we provide suggested values for the critical threshold. By examining the interplay between inflationary models, threshold values, and PBH abundances, our study aims to shed light on the viability of PBHs as a candidate for DM and contributes to the ongoing discussion regarding the nature of DM in the Universe

17 pages, 4 figures

References in corpus (20)

• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Cosmic microwave background limits on accreting primordial black holes
• Primordial black hole dark matter from single field inflation
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Calculating the mass spectrum of primordial black holes
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Generating PBHs and small-scale GWs in two-field models of inflation
• Curvature profiles as initial conditions for primordial black hole formation
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• Probing Primordial Features with the Stochastic Gravitational Wave Background
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Primordial black hole formation in inflationary $\alpha$-attractor models
• Mechanisms of Producing Primordial Black Holes By Breaking The SU(2,1)/SU(2)$\times$U(1) Symmetry
• Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation
• Self-consistent initial conditions for primordial black hole formation
• Primordial Black Holes and Gravitational Waves in Multi-Axion-Chern-Simons Inflation
• The effect of multiple features on the power spectrum in two-field inflation
• Gravitational Waves From No-Scale Supergravity

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