  Now the hypothesis of existence of scalar fields of a various nature and
energy density in the modern Universe is intensively explored. It can explain a
nature of the dark (non- baryon) matter in the Universe and an existence of
positive $\Lambda $-term (see e.g. gr-qc/9904398). One of component of such
field has a cluster nature and organizes in the closed gravitational
configurations from galactic scales up to relativistic microscopic stars. In
the authors paper astro-ph/0008334 the hypothesis of detonation of such fields
was considered. As a result of phase transition behind the wavefront a
relativistic plasma of high energy density can appear. This process is similar
to a relativistic detonation and it can create macroscopic fireballs sufficient
for an explanation of the phenomenon of gamma-ray bursts (see e.g. the review
astro-ph/9907392). In astro-ph/0008334 it was supposed that the front of such
''detonation'' wave is entered by the flow of scalar fields with constant
energy density. If the size of the formed plasma configuration is commensurable
with the size of scalaron cluster, this hypothesis is not correct. It is
necessary to take into account a modification of the energy density of the
scalar field from centre to a periphery. It is changes the dynamics of the
fireball on principle. The indicated problem in framework of special relativity
is considered in this paper.
