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

Sergio M. C. V. Goncalves
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Abstract

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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Sergio M. C. V. Goncalves. 2000-08-15. Black hole formation from massive scalar field collapse in the Einstein-de Sitter universe. https://doi.org/10.1103/physrevd.62.124006

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