Limits on primordial magnetic fields from primordial black hole abundance

Abstract

Primordial magnetic field (PMF) is one of the feasible candidates to explain observed large-scale magnetic fields, for example, intergalactic magnetic fields. We present a new mechanism that brings us information about PMFs on small scales based on the abundance of primordial black holes (PBHs). The anisotropic stress of the PMFs can act as a source of the super-horizon curvature perturbation in the early universe. If the amplitude of PMFs is sufficiently large, the resultant density perturbation also has a large amplitude, and thereby, the PBH abundance is enhanced. Since the anisotropic stress of the PMFs is consist of the square of the magnetic fields, the statistics of the density perturbation follows the non-Gaussian distribution. Assuming Gaussian distributions and delta-function type power spectrum for PMFs, based on a Monte-Carlo method, we obtain an approximate probability density function of the density perturbation, and it is an important piece to relate the amplitude of PMFs with the abundance of PBHs. Finally, we place the strongest constraint on the amplitude of PMFs as a few hundred nano-Gauss on $10^2{\mathrm{Mpc}}^{-1}\le k\le 10^{18}{\mathrm{Mpc}}^{-1}$ where the typical cosmological observations never reach.

18 pages, 4 figures

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Cited by in corpus (9)

• Cosmology with the Laser Interferometer Space Antenna
• Primordial black holes in peak theory with a non-Gaussian tail
• Primordial magnetic field generation via primordial black hole disks
• Magnetic field generation from primordial black hole distributions
• Primordial magnetic fields during the cosmic dawn in light of EDGES 21-cm signal
• Probing the primordial Universe with 21-cm line from cosmic dawn/epoch of reionization
• Exploring Faraday rotation signatures and population bounds for primordial magnetic black holes
• Revisiting constraints on primordial magnetic fields from spectral distortions of cosmic microwave background
• Sensitivity of the redshifted 21 cm signal from the Dark Ages to parameters of primordial magnetic fields