Annihilation Shock Wave in Gravitating Gas Dynamics

Abstract

In the framework of general relativity, we present a solution of the problem on an annihilation wave arising at compression of a mixture of particles and antiparticles under the action of their selfgravity. The problem may be considered as a description of emerging expansion of a gravitating gas at inhomogeneous collapse of dust. Taking into account the partial transition of the rest mass to energy of the expanding matter, following the concept proposed earlier by W. de Sitter, this phenomenon can be used in a scheme of the Universe evolution of a compression–expansionmanner without any singular points.