Single-Field Model of Gravitational-Scalar Instability. II. Black Hole Formation

The previously formulated mathematical model of a statistical system with scalar interaction of fermions and the theory of gravitational-scalar instability of a cosmological model based on a one-component statistical system of scalarly charged degenerate fermions (\(\mathfrak{M}_{1}^{c}\) models), has led to the possibility of black hole formation in the early Universe using the mechanism of gravitational-scalar instability, which ensures the exponential growth of perturbations. The evolution of spherical masses in the \(\mathfrak{M}_{1}^{c}\) model, as well as the evolution of black holes with allowance for their evaporation, is studied. Arguments in favor of the possibility of black hole formation in the early Universe with the help of the proposed mechanism is given, and a numerical model is constructed that confirms this reasoning. The range of parameters of the \(\mathfrak{M}_{1}^{c}\) model, which ensures the growth of black hole masses in the early Universe up to \(10^{4}{-}10^{6}M_{\odot}\), is identified.