Some theoretical aspects of continuum mechanics in the Riemann space at varying particle number and energy sources

The continuity equation is considered within the framework of the relativistic gas dynamics in the presence of internal sources supplying continuum by a new mass. The usual energy-momentum tensor is constructed by varying the arbitrary pressure function. The behaviour of the curvature tensor in the case of a change in the number of particles is elucidated. A set of equations, which is used for the central symmetrical reference system, is obtained. The change in the parameters of elementary particles (gravitons and planckeons) is analyzed. The entropy, particle temperature, and the heat released per a particle, as well as the chemical potential for bosons, are calculated