Angular momentum and black hole formation in stellar systems - A statistical approach

Details Angular momentum and black hole formation in stellar systems - A statistical approach Angular momentum and black hole formation in stellar systems - A statistical approach

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...384..560d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 384, Jan. 10, 1992, p. 560-566. Research supported by MURST and CNR.

Astronomy and Astrophysics

Astronomy

4

Angular Momentum, Black Holes (Astronomy), Celestial Mechanics, Star Formation, Stellar Motions, Astronomical Models, Statistical Analysis, Stellar Systems

Scientific paper

A model of a rotating and stationary stellar system with a quasi-Maxwellian distribution function is considered. A nonlinear Poisson equation with an energy cutoff is numerically solved and the behavior is found of the physical parameters of the system and in particular that of the ratio a/m = cJ/G(M-squared), where J and M are, respectively, its total angular momentum and mass, c is the velocity of light, and G is the gravitational constant. From black-hole theory it is known that the a/m ratio must be strictly less than 1 for a black hole to form, hence the purpose of this paper is to verify under what general conditions a rotating stellar system contains a region where that inequality is satisfied so permitting the formation of a black hole. It is found that the existence of such a region requires a total value of a/m not exceeding roughly 10, a value sufficiently small to be a stringent observational constraint.

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