Abstract
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), have been considered. Three new methods for stability investigation are considered. The first method is based on the choice of the sequence of Maxwellian models with fixed cutoff parameter, in accordance with adiabatic conditions p cut ∼n c 1/3 . The second one is based on the consideration of the sequence of Maxwellian models with the same value of the specific entropy
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