Key points are not available for this paper at this time.
Tooper's calculations of the parameters of the Lane-Emden functions for polytropes in general- relativistic hydrostatic equilibrium are extended, particularly in the direction of greater incompressibility of the equation of state. The contraction of the nonrelativistic homology group when general relativity enters in is discussed. The stability limits for general-relativistic polytropes are obtained. Letting a = (P/PC2) measure the effects of general relativity, for y - 43 1.73a the polytrope P = Kp will be unstable against radial collapse. Particularly if neutronic matter is stiff, these results directly determine the maximum mass and radius of massive neutron stars to 5-10 percent and percent accuracy, respectively. Subject headings: equation of state - interiors, stellar - neutron stars - relativity
S. A. Bludman (Sun,) studied this question.