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Small Spins of Primordial Black Holes from Random Geometries

ORAL · Invited

Abstract

Black hole entropy is a robust prediction of quantum gravity with no established phenomenological consequences to date. We use the Bekenstein-Hawking entropy formula and general-relativistic statistical mechanics to determine the probability distribution of random geometries uniformly sampled in phase space. We show that this statistics (in the limit $\hbar\to 0$) is relevant to large curvature perturbations, resulting in a population of primordial black holes with zero natal spin. In principle, the identification of such a population at LIGO, Virgo, and future gravitational wave observatories could provide the first observational evidence for the statistical nature of black hole entropy.

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Authors

  • Eugenio Bianchi

    Pennsylvania State University

  • Anuradha Gupta

    New Jersey Inst of Tech, Pennsylvania State University, Bard College, University of Mississippi, Drexel Univ, Collaborator, University of Dayton, Morgan State University, Louisiana State University, University of Geneva, Instituto Superior Tecnico - Lisboa, Department of Biochemistry and Molecular Biology, Rutgers University, Institute for Quantitative Biomedicine, Rutgers University, Pennsylvania State University, and University of Illinois at Urbana-Champaign, University of Illinois at Urbana-Champaign, Department of Chemical Engineering, New Jersey Institute of Technology, Department of Physics and Astronomy, Rutgers University-New Brunswick, Department of Physics, Rutgers University, Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany, Department of Physics and Fribourg Center for Nanomaterials, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland, The MacDiarmid Institute for Advanced Materials and Nanotechnology, 1010 Auckland, New Zealand, Department of Physics, College of William & Mary, Williamsburg, VA 23187-8795, USA, New Jersey Institute of Technology, Newark, NJ, USA, University of California, Los Angeles, CA, USA, University of California, Berkeley, CA, USA, Space Research Institute of RAS, Moscow, Russia, Georgetown University, Institut Polytechnique de Paris, University of Delaware, Brookhaven National Laboratory, San Diego State University, University of Chicago, University of Illinois at Chicago, Argonne National Laboratory, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08854, USA, University of Washington

  • Anuradha Gupta

    New Jersey Inst of Tech, Pennsylvania State University, Bard College, University of Mississippi, Drexel Univ, Collaborator, University of Dayton, Morgan State University, Louisiana State University, University of Geneva, Instituto Superior Tecnico - Lisboa, Department of Biochemistry and Molecular Biology, Rutgers University, Institute for Quantitative Biomedicine, Rutgers University, Pennsylvania State University, and University of Illinois at Urbana-Champaign, University of Illinois at Urbana-Champaign, Department of Chemical Engineering, New Jersey Institute of Technology, Department of Physics and Astronomy, Rutgers University-New Brunswick, Department of Physics, Rutgers University, Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany, Department of Physics and Fribourg Center for Nanomaterials, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland, The MacDiarmid Institute for Advanced Materials and Nanotechnology, 1010 Auckland, New Zealand, Department of Physics, College of William & Mary, Williamsburg, VA 23187-8795, USA, New Jersey Institute of Technology, Newark, NJ, USA, University of California, Los Angeles, CA, USA, University of California, Berkeley, CA, USA, Space Research Institute of RAS, Moscow, Russia, Georgetown University, Institut Polytechnique de Paris, University of Delaware, Brookhaven National Laboratory, San Diego State University, University of Chicago, University of Illinois at Chicago, Argonne National Laboratory, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08854, USA, University of Washington

  • Anuradha Gupta

    New Jersey Inst of Tech, Pennsylvania State University, Bard College, University of Mississippi, Drexel Univ, Collaborator, University of Dayton, Morgan State University, Louisiana State University, University of Geneva, Instituto Superior Tecnico - Lisboa, Department of Biochemistry and Molecular Biology, Rutgers University, Institute for Quantitative Biomedicine, Rutgers University, Pennsylvania State University, and University of Illinois at Urbana-Champaign, University of Illinois at Urbana-Champaign, Department of Chemical Engineering, New Jersey Institute of Technology, Department of Physics and Astronomy, Rutgers University-New Brunswick, Department of Physics, Rutgers University, Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany, Department of Physics and Fribourg Center for Nanomaterials, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland, The MacDiarmid Institute for Advanced Materials and Nanotechnology, 1010 Auckland, New Zealand, Department of Physics, College of William & Mary, Williamsburg, VA 23187-8795, USA, New Jersey Institute of Technology, Newark, NJ, USA, University of California, Los Angeles, CA, USA, University of California, Berkeley, CA, USA, Space Research Institute of RAS, Moscow, Russia, Georgetown University, Institut Polytechnique de Paris, University of Delaware, Brookhaven National Laboratory, San Diego State University, University of Chicago, University of Illinois at Chicago, Argonne National Laboratory, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08854, USA, University of Washington