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

Gonçalves, Sérgio M. C. V. (2000) Black hole formation from massive scalar field collapse in the Einstein–de Sitter universe. Physical Review D, 62 (12). Art. no. 124006. ISSN 2470-0010. doi:10.1103/PhysRevD.62.124006.

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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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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.
Issue or Number:12
Record Number:CaltechAUTHORS:GONprd00
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1317
Deposited By: Archive Administrator
Deposited On:10 Jan 2006
Last Modified:08 Nov 2021 19:09

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