Stellar critical parameters in the uniform density approximation

Abstract

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 $10^5$ $M_{\odot }$. The effects of the general relativity had been taken into account. The equation of state in the temperature and density ranges $10^9<T<10^{10}K$, $10^5<\ddot{I}<10^{10}\frac{g}{c{m}^3}$ 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$\%$.

12 pages, 3 figures