Black hole formation from massive scalar field collapse in the Einstein–de Sitter universe
- Creators
- Gonçalves, Sérgio M. C. V.
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.Files
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Additional details
- Eprint ID
- 1317
- Resolver ID
- CaltechAUTHORS:GONprd00
- Created
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2006-01-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field