  Proceeded from the gravitation equations proposed by one of authors it was
argued in a previous paper that there can exist supermassive compact
configurations of degenerated Fermi-gas without events horizon. In the present
paper we consider the stability of these objects by method like the one used in
the theory of stellar structure. It is shown that the configurations with an
adiabatic equation of state with the power 4/3 are stable.
