Error message

Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property date_sql_handler::$granularity is deprecated in date_views_filter_handler_simple->init() (line 39 of /etc/drupal7/all/modules/date/date_views/includes/date_views_filter_handler_simple.inc).
Deprecated function: Creation of dynamic property date_sql_handler::$granularity is deprecated in date_views_filter_handler_simple->init() (line 39 of /etc/drupal7/all/modules/date/date_views/includes/date_views_filter_handler_simple.inc).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property date_sql_handler::$granularity is deprecated in date_views_filter_handler_simple->init() (line 39 of /etc/drupal7/all/modules/date/date_views/includes/date_views_filter_handler_simple.inc).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property alpha_theme_container::$delta is deprecated in alpha_theme_container->__construct() (line 25 of /etc/drupal7/all/themes/omega/alpha/includes/base.inc).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 222 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 223 of /etc/drupal7/all/modules/date/date_api/date_api.module).
Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 226 of /etc/drupal7/all/modules/date/date_api/date_api.module).

The Formation Probability of Primordial Black Holes

Topics:

Primordial Black Holes

Date:

18. May 2021

Cite as:

M. Biagetti, V. De Luca, G. Franciolini, A. Kehagias, A. Riotto, (2021) [arXiv:2105.07810].

Online abstract:

arXiv:2105.07810

Members involved:

Matteo Biagetti, Valerio De Luca, Gabriele Franciolini, Alexandros Kehagias, Antonio Riotto

Summary:

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.

Address

Département de Physique Théorique
Université de Genève
24, quai Ernest Ansermet
1211 Genève 4
Switzerland
Directions & contact

Links

Department of Theoretical Physics
Center for Astroparticle Physics Genève
Physics section
Faculty of Sciences
University of Geneva
CERN