Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414..187b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 414, no. 1, p. 187-199.
Astronomy and Astrophysics
Astrophysics
9
Celestial Mechanics, Globular Clusters, Gravitational Collapse, Relativistic Theory, Star Clusters, Astronomical Models, Distribution Functions, Poisson Equation
Scientific paper
Stability of dense stellar clusters against relativistic collapse is investigated by approximate methods, similar to the static criteria of stellar stability. The equilibrium models with Maxwellian distribution function with cutoff, studied by Zel'dovich & Podurets (ZP) (1965), have been considered. Three new methods for stability investigation are considered. They give only approximate results about the stability, because adiabatic perturbations of the collisionless Maxwellian model lead to complicated non-Maxwellian distribution, which cannot be written analytically. However, these results are more precise than those of ZP, obtained from consideration of the sequence of Maxwellian models with different temperature. The coincidence of the temperatures in the critical point, T = 0.223 mc-squared leads us to believe that these methods, although approximate, provide rather relatively good precision not worse than 0.001.
Bisnovatyj-Kogan G. S.
Merafina Marco
Ruffini Remo
Vesperini Enrico
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