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

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

2000-08-15

arxiv.org/abs/gr-qc/0008039v1

Phys.Rev. D62 (2000) 124006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, RevTeX, 3 eps figures; to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.124006

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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