The Spherical Relativistic Detonation of Scalaron Stars

Abstract

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.