Stellar models are calculated in the approximation of a uniform density distribution. Variational method was used for determination of the boundary of a stability loss, for stellar masses in the range from 2 up to 105M⊙. The effects of the general relativity had been taken into account. The equation of state in the temperature and density ranges 109<T<1010K, 105<ρ<1010cm3g had been taken from the work of Imshennik and Nadyozhin (1965). The critical parameters for the values of entropy and stellar masses differ from more accurate values, obtained using a more complicated variant of accepted density distribution, not more than 12%.
@article{arxiv.2511.03419,
title = {Stellar critical parameters in the uniform density approximation},
author = {G. S. Bisnovatyi-Kogan and E. A. Patraman},
journal= {arXiv preprint arXiv:2511.03419},
year = {2025}
}