The title and abstract read: On Massive Neutron Cores J. R. OPPENHEIMER AND G. M. VOLKOFF Department of Physics, University of California, Berkeley, California (Received January 3, 1939) It has been suggested that, when the pressure within stellar matter becomes high enough, a new phase consisting of neutrons will be formed. In this paper we study the gravitational equilibrium of masses of neutrons, using the equation of state for a cold Fermi gas, and general relativity. For masses under M☉/3 only one equilibrium solution exists, which is approximately described by the non-relativistic Fermi equation of state and Newtonian gravitational theory. For masses M☉/3 < 3M☉/4 two solutions exist, one stable and quasi-Newtonian, one more condensed, and unstable. For masses greater than 3M☉/4 there are no static equilibrium solutions.
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