The Effect of Accumulation of Excess Energy of a Body in Gravitational   Compression
  It is shown that a gravitational compression of a spherical body results in an infinite growth of the energy of a body as its radius comes close to $GM/c^2$. This gives rise to a negative defect of mass and, due to an instability, to an expansion or to an explosion. A rigorous proof of the above statement can be obtained within the General Relativity in the harmonic coordinates. 
S.S. Gershtein, A.A. Logunov, M.A. Mestvirishvili
physics.gen-ph