Gravitational-Scalar Instability of a Cosmological Model Based on a Two-Component System of Degenerate Scalarly Charged Fermions with Asymmetric Higgs Interaction. I. Equations for Perturbations

TL;DR

This paper develops a mathematical framework for analyzing the evolution of small perturbations in a cosmological model composed of degenerate scalarly charged fermions interacting via an asymmetric Higgs field, providing equations for both the unperturbed state and perturbations.

Contribution

It introduces a comprehensive set of differential equations describing the unperturbed and perturbed states of a two-component fermionic system with scalar charge and Higgs interaction in cosmology.

Findings

Derived a closed system of equations for unperturbed cosmological states.

Formulated evolution equations for small perturbations in the system.

Provides groundwork for analyzing gravitational-scalar instabilities.

Abstract

A mathematical model is formulated for the evolution of plane perturbations in a cosmological two-component statistical system of completely degenerate scalarly charged fermions with an asymmetric scalar Higgs interaction. A complete closed system of differential equations describing the unperturbed state of a homogeneous and isotropic system and a system of self-consistent evolution equations of small perturbations are constructed.