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Published December 15, 2000 | public
Journal Article Open

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

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.

Additional Information

©2000 The American Physical Society Received 12 June 2000; published 17 November 2000 I am grateful to Bernard Carr, Ian Moss, Kip Thorne and Michele Vallisneri for helpful discussions. This work was supported by F.C.T. (Portugal) Grant PRAXIS XXI-BPD-16301-98, and by NSF Grant AST-9731698.

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August 21, 2023
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