Primordial black holes and slow-roll violation

2017/06/30 by Hayato Motohashi, Wayne Hu · 8 citations
Mathematics · Physics and Astronomy · #Anisotropy #Astrophysics #Attractor #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmology and Gravitation Theories #Curvature #Dark matter #Geometry #Gravitational wave #Inflation (cosmology) #Inflaton #Mathematics #Physics #Primordial black hole #Pulsars and Gravitational Waves Research #Quantum mechanics #Slow roll #Spectral density #Theoretical physics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.96.063503

published as Phys. Rev. D 96, 063503 (2017) · 9 pages, 5 figures; added Fig. 2, matches published version

openalex publication_date 2017/09/06 · arxiv created 2017/09/07 · arxiv updated 2017/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least O(1) in order to enhance the curvature power spectrum within the required number of e-folds between cosmic microwave background scales and PBH mass scales. Power spectrum predictions which rely on the inflaton remaining on the slow-roll attractor can fail dramatically leading to qualitatively incorrect conclusions in models like an inflection potential and misestimate the mass scale in a running mass model. We show that an optimized temporal evaluation of the Hubble slow-roll parameters to second order remains a good description for a wide range of PBH formation models where up to a 10⁷ amplification of power occurs in 10 e-folds or more.

Citations

• Generalized slow roll approximation for large power spectrum features
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Horizon crossing and inflation with largeη
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Did LIGO detect dark matter?
• The clustering of massive Primordial Black Holes as Dark Matter: Measuring their mass distribution with advanced LIGO
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Planck 2015 results. XIII. Cosmological parameters
• Planck 2015 results. XX. Constraints on inflation

Cited by

• Primordial Black Holes: A Review of Formation and Evolution
• Bipartite entanglement of the primordial Majorana during inflation
• Constant-Roll Inflation
• Sub-Horizon Amplification of Curvature Perturbations: A New Route to Primordial Black Holes and Gravitational Waves
• Quantum diffusion during inflation and primordial black holes
• Primordial black holes as generators of cosmic structures
• Sensitivity of primordial black hole abundance on the reheating phase
• Light Scalar Fields Foster Production of Primordial Black Holes

Related

• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Reconstructing the Inflaton Potential: Primordial Black Holes and Gravitational Waves in Slow Roll and Ultra Slow Roll Single Field Inflation
• Primordial Black Holes and Loops in Single-Field Inflation
• Beware of the running n_s when producing heavy primordial black holes
• The Primordial Black Hole Formation from Single-Field Inflation is Not Ruled Out