Stellar critical parameters in the uniform density approximation

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 ${10}^9<T<{10}^{10}K$, ${10}^5<\rho <{10}^{10}\frac{g}{c{m}^3}$ 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$\mathrm{\%}$.