The formation probability of primordial black holes
Copyright policy )The formation probability of primordial black holes
We calculate the exact formation probability of primordial black holes generated during the collapse at horizon re-entry of large fluctuations produced during inflation, such as those ascribed to a period of ultra-slow-roll. We show that it interpolates between a Gaussian at small values of the average density contrast and a Cauchy probability distribution at large values. The corresponding abundance of primordial black holes may be larger than the Gaussian one by several orders of magnitude. The mass function is also shifted towards larger masses.
4 pages, 3 figures, minor additions, references added, matches published version
- Sapienza Universit? di Roma Italy
- University of Padua Italy
- National Institute for Nuclear Physics Italy
- University of Geneva Switzerland
- Sapienza University of Rome Italy
High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), QC1-999, Collapse, Density, FOS: Physical sciences, Nonlinear, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Power spectrum, High Energy Physics - Phenomenology (hep-ph), Black hole: primordial, Black hole: formation, Radiation, Physics, Horizon, primordial black holes, Fluctuation, Curvature: perturbation, Inflation, High Energy Physics - Phenomenology, Reheating, High Energy Physics - Theory (hep-th), Slow-roll approximation, 500.2, Astrophysics - Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), QC1-999, Collapse, Density, FOS: Physical sciences, Nonlinear, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Power spectrum, High Energy Physics - Phenomenology (hep-ph), Black hole: primordial, Black hole: formation, Radiation, Physics, Horizon, primordial black holes, Fluctuation, Curvature: perturbation, Inflation, High Energy Physics - Phenomenology, Reheating, High Energy Physics - Theory (hep-th), Slow-roll approximation, 500.2, Astrophysics - Cosmology and Nongalactic Astrophysics
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