Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phdt........14s&link_type=abstract
Ph.D. Thesis George Washington Univ., Washington, DC.
Astronomy and Astrophysics
Astronomy
1
Black Holes (Astronomy), Evolution (Development), Gravitational Collapse, Density (Mass/Volume), Differential Equations, Mass, Qualitative Analysis
Scientific paper
An attempt is made to set up a formalism which can be used to determine the way inhomogeneities could lead to collapse and formation of black holes. The evolution of spherically symmetric inhomogeneities arising in a background Friedmann space is analyzed. The method of solution is to set up a perturbation series strongly convergent for small density fluctuations. The differential equation governing the perturbation of any given order is determined. The first order solutions are used to describe the evolution of the perturbed space starting from a given initial localized over-density. The criteria for collapse are obtained in the model and these criteria are used to determine the number of primordial black holes in a given mass range at a given time. The number spectrum obtained in the calculations is used to qualitatively analyze the radiation from the black holes possibly observe today.
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