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

Ignat'ev, Yu. G.

doi:10.1007/s11182-023-02795-6

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…Statment 1 The complete system of equations of the mathematical model (7), (10) and ( 19) is invariant under scaling transformations of the fundamental parameters of the mathematical model (20) and scaling coordinate transformations (21) and the Fermi momentum (22), i.e., the solutions of the equations of the original model and the scale-transformed one coincide.…”

Section: Model Transformation Propertiesmentioning

confidence: 99%

“…2 Linear spherical perturbations of the cosmological model [20], [21], [22] developed a general theory of the evolution of linear planar scalar-gravitational perturbations in a two-component cosmological system of degenerate scalar-charged fermions with asymmetric Higgs scalar interaction. In this article, we consider the theory of evolution of linear spherical perturbations in a onecomponent cosmological system of degenerate scalarly charged fermions with a canonical Higgs scalar interaction.…”

Section: Model Transformation Propertiesmentioning

confidence: 99%

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Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Ignat'ev

2023

Theor Math Phys

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A mathematical model is constructed for the evolution of spherical perturbations in a cosmological onecomponent statistical system of completely degenerate scalarly charged fermions with a scalar Higgs interaction. A complete system of self-consistent equations for small perturbations describing the evolution of spherical perturbations is constructed. Singular parts in perturbation modes corresponding to point mass and scalar charge are singled out. Systems of ordinary differential equations are obtained that describe the evolution of the mass and charge of a singular source, and systems of partial differential equations that describe the evolution of non-singular parts of perturbations. In this case, the coefficients of partial differential equations are described by solutions of evolutionary equations for mass and charge. The problem of spatially localized perturbations for solutions polynomial in the radial coordinate is reduced to a recurrent system of ordinary linear differential equations for the coefficients of these polynomials. The properties of solutions in the case of cubic polynomials are studied, in particular, it is shown that the radii of localization of gravitational and scalar perturbations coincide and evolve in proportion to the scale factor. Numerical modeling of the evolution of perturbations was carried out, in particular, it confirmed the exponential growth of the central mass of the perturbation, and also revealed the oscillatory nature of the evolution of the scalar charge.

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Section: Model Transformation Propertiesmentioning

confidence: 99%

Section: Model Transformation Propertiesmentioning

confidence: 99%

Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Ignat'ev

2023

Theor Math Phys

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Formation of Supermassive Nuclei of Black Holes in the Early Universe by the Mechanism of Scalar-Gravitational Instability. I. Local Picture$${}^{1}$$

Ignat’ev

2023

Gravit. Cosmol.

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Based on the previously formulated theory of spherical perturbations in the cosmological medium of selfgravitating scalarly charged fermions with the Higgs scalar interaction and the similarity properties of such models, the formation of supermassive Black Hole Seeds (SSBH) in the early Universe is studied. Using numerical simulation of the process, it is shown that the mass of SSBH during the evolution process reaches a limiting value, after which it begins to slowly fall. The possible influence of nonlinearity on this process is discussed.

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Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Игнатьев¹,

Ignatev

2023

TMF

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Построена математическая модель эволюции сферических возмущений в космологической однокомпонентной статистической системе полностью вырожденных скалярно заряженных фермионов со скалярным взаимодействием Хиггса. Построена полная система самосогласованных уравнений для малых возмущений, описывающих эволюцию сферических возмущений. Выделены сингулярные части в модах возмущений, соответствующие точечным массе и скалярному заряду. Получены системы обыкновенных дифференциальных уравнений, описывающих эволюцию массы и заряда сингулярного источника, и системы дифференциальных уравнений в частных производных, описывающие эволюцию несингулярных частей возмущений. Коэффициенты уравнений в частных производных описываются решениями эволюционных уравнений для массы и заряда. Задача о пространственно локализованных возмущениях для полиномиальных по радиальной координате решений сведена к рекуррентной системе обыкновенных линейных дифференциальных уравнений на коэффициенты этих полиномов. Изучены свойства решений в случае кубических полиномов, в частности показано, что радиусы локализации гравитационных и скалярных возмущений совпадают и эволюционируют пропорционально масштабному фактору. Проведено численное моделирование эволюции возмущений, подтвердившее экспоненциальный рост центральной массы возмущения, а также выявившее колебательный характер эволюции скалярного заряда.

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

Cited by 3 publications

References 17 publications

Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Formation of Supermassive Nuclei of Black Holes in the Early Universe by the Mechanism of Scalar-Gravitational Instability. I. Local Picture$${}^{1}$$

Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

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