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 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:GONprd00
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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.
|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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|Deposited On:||10 Jan 2006|
|Last Modified:||26 Dec 2012 08:43|
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