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Black hole formation from massive scalar field collapse in the Einstein-de Sitter universe

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arxiv gr-qc/0008039 v1 pith:NDG4L3HY submitted 2000-08-15 gr-qc

classification gr-qc
keywords fieldblackcollapseholeinitialanalyticaleinstein-demass
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We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain a simple analytical criterion---involving the physical size and mass scales (the field's inverse Compton wavelength and the spacetime gravitational mass) of the initial matter configuration---for generic (non-time-symmetric) initial data to collapse to a black hole. This analytical condition can then be used to place constraints on the initial primordial black hole spectrum, by considering spherical density perturbations that re-entered the horizon during an early matter-dominated phase that immediately followed inflation.

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Cited by 1 Pith paper

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  1. Primordial black holes through preheating instabilities in $\alpha$-attractor models

    astro-ph.CO 2025-05 conditional novelty 5.0 of 10

    In alpha-attractor models, preheating self-resonance can form primordial black holes of 10^2 to 10^7 g, with the Khlopov-Polnarev collapse formalism staying viable and the Press-Schechter formalism overproducing.

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