  In the present paper some consequences of the hypothesis that the
supermassive compact object in the Galaxy centre relates to a class of objects
without event horizon are examined. The possibility of the existence of such
objects was substantiated by the author earlier. It is shown that accretion of
a surrounding gas can cause nuclear combustion in the surface layer which, as a
result of comptonization of the superincumbent hotter layer, may give a
contribution to the observed Sgr A* radiation in the range $10^{15} \div
10^{20} Hz$.
  It is found a contribution of the possible proper magnetic moment of the
object to the observed synchrotron radiation on the basis of Boltzmann's
equation for photons which takes into account the influence of gravity to their
motion and frequency. We arrive at the conclusion that the hypothesis of the
existence in the Galaxy centre of the object with such extraordinary
gravitational properties at least does not contradict observations.
