Primordial black holes as biased tracers

Abstract

Primordial black holes (PBHs) are theoretical black holes which may be formed during the radiation dominant era and, basically, caused by the gravitational collapse of radiational overdensities. It has been well known that in the context of the structure formation in our Universe such collapsed objects, e.g., halos/galaxies, could be considered as bias tracers of underlying matter fluctuations and the halo/galaxy bias has been studied well. Employing a peak-background split picture which is known to be a useful tool to discuss the halo bias, we consider the large scale clustering behavior of the PBH and propose an almost mass-independent constraint to the scenario that dark matters (DMs) consist of PBHs. We consider the case where the statistics of the primordial curvature perturbations is almost Gaussian, but with small local-type non-Gaussianity. If PBHs account for the DM abundance, such a large scale clustering of PBHs behaves as nothing but the matter isocurvature perturbation and constrained strictly by the observations of cosmic microwave backgrounds (CMB). From this constraint, we show that, in the case a certain single field causes both CMB temperature perturbations and PBH formations, the PBH-DM scenario is excluded even with quite small local-type non-Gaussianity, $|f_{\mathrm{NL}}|\sim \mathcal{O}(0.01)$, while we give the constraints to parameters in the case where the source field of PBHs is different from CMB perturbations.

8 pages, 2 figures, v2: accepted ver

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Cited by in corpus (14)

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• CMB bounds on disk-accreting massive Primordial Black Holes
• Stochastic gravitational waves associated with the formation of primordial black holes
• Primordial black holes from inflaton and spectator field perturbations in a matter-dominated era
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• Primordial black hole merger rates: distributions for multiple LIGO observables
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Primordial black holes from cusp collapse on cosmic strings
• Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum
• Peak statistics for the primordial black hole abundance
• Strong clustering of primordial black holes from Affleck-Dine mechanism
• Formation and clustering of primordial black holes in Brans-Dicke theory
• The Black Hole Window on Cosmic Inflation
• The generalized Lemaitre-Tolman-Bondi solutions with nonzero pressure in modeling the cosmological black holes