Similarity theory of stellar models and the structure of very massive stars

The similarity theory of stellar models is used to study the properties of very massive stars when all the opacity sources, except the Thomson scattering, can be disregarded. The dimensionless internal structure of such stars is essentially independent of the energy generation law. It is shown that the mass-luminosity relation can be fitted by an analytical expression that is virtually universal with regard to the chemical composition and the energy generation law. A detailed comparison with the Eddington standard model is made. The application of the results obtained to the observations of massive stars is briefly discussed.