Clustering of primordial black holes: Basic results

James R. Chisholm
Phys. Rev. D 73, 083504 – Published 5 April 2006

Abstract

We investigate the spatial clustering properties of primordial black holes (PBHs). With minimal assumptions, we show that PBHs created in the radiation era are highly clustered. Using the peaks theory model of bias, we compute the PBH two-point correlation function and power spectrum. For creation from an initially adiabatic power spectrum of perturbations, the PBH power spectrum contains both isocurvature and adiabatic components. The absence of observed isocurvature fluctuations today constrains the mass range in which PBHs may serve as dark matter. We briefly discuss other consequences of PBH clustering.

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  • Received 27 July 2005

DOI:https://doi.org/10.1103/PhysRevD.73.083504

©2006 American Physical Society

Authors & Affiliations

James R. Chisholm*

  • Institute for Fundamental Theory, University of Florida, Gainesville, Florida 32611-8440, USA, Particle Astrophysics Center,Fermi National Accelerator Laboratory, Batavia, Illinois 60510-0500, USA, and Enrico Fermi Institute,University of Chicago, Chicago, Illinois 60637, USA

  • *Electronic address: chisholm@phys.ufl.edu

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Vol. 73, Iss. 8 — 15 April 2006

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