ИСТИНА

In this report in the framework of general relativity a solution of the problem of annihilation wave that occurs when a mixture of particles and antiparticles is compressing under its own gravity is presented. Taking into account the possible leaving of a concentrated isotropic light wave of a directional radiation. This problem may be regarded as a description of the formation of the expansion of a gravitating gas in a nonhomogeneous dust collapse. According to the concept A. Taub (1971), developed by AN Golubiatnikov (1976-1999) for the transformation of the rest mass to the energy of the expanding matter, this phenomenon can be put into the scheme of evolution of the universe such as «compression — expansion» without point singularity. This work was supported by RFBR (project 14-01-00056, 15-01-00361).