ON THE SPHERICAL-SYMMETRY OF STATIC STELLAR MODELS

This paper completes the proof of the necessity of spherical symmetry in the static general-relativistic stellar models that have equations of state satisfying certain inequalities. The technical assumption - t hat there exists a ''reference spherical stellar model'' - that was es sential in the previous discussions of this problem is removed. This p aper also extends beyond previous discussions the class of equations o f state included in the proof. The analysis of the equations for spher ical stellar models, used here to demonstrate the existence of a ''ref erence spherical model,'' may also be of independent interest.