Two-field model of gravitational-scalar instability and the formation of supermassive black holes in the early Universe

Abstract

Based on 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 two-component statistical system of scalarly charged degenerate fermions, a numerical model of the cosmological evolution of gravitational-scalar perturbations in the presence of classical and phantom scalar fields is constructed and studied. The gravitational-scalar instability in the early stages of expansion in the model under study arises at sufficiently large scalar charges, and the instability develops near the unstable points of the vacuum doublet. Shortwave perturbations of the free phantom field turn out to be stable at stable singular points of the vacuum doublet. It is shown that for sufficiently large scalar charges, mass perturbations can grow to the values of masses Black Hole Seeds (BHS).

14 pages, 16 figures, 12 references. arXiv admin note: substantial text overlap with arXiv:2207.05066

References in corpus (4)

• Complete cosmological model based on a asymmetric scalar Higgs doublet
• Single-field model of gravitational-scalar instability. I. Evolution of perturbations
• Single-Field Model of Gravitational-Scalar Instability. II. Black Hole Formation
• Cosmological evolution of a statistical system of degenerate scalar-charged fermions with an asymmetric scalar doublet. I. Two-component system of assorted charges

Cited by in corpus (3)

• Evolution of spherical perturbations in the cosmological environment of degenerate scalarly charged fermions with the Higgs scalar interaction
• Similarity of cosmological models and its application to the analysis of cosmological evolution
• Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid