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In the paper we consider the macroscopic model of plasma of scalar charged particles, obtained by means of the statistical averaging of the microscopic equations of particle dynamics in a scalar field. On the basis of kinetic equations,…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Yurii Ignat'ev , Alexander Agathonov , Mikhail Mikhailov , Dmitry Ignatyev

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerated scalar-charged fermions with the Higgs scalar interaction is formulated. A complete closed system of differential…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Yu. G. Ignat'ev

Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models are revealed under the scale transformation of…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Yu. G. Ignat'ev

A study and numerical modeling of the cosmological evolution of a classical scalar field with the Higgs potential was carried out. Based on the formulated similarity properties of cosmological models, their main characteristics are studied…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Yu. G. Ignat'ev , A. R. Samigullina

On the basis of the relativistic kinetic theory the relativistic statistical systems with scalar interaction particles are investigated. The self-consistent system of the equations describing self-gravitating plasma with interpartial scalar…

General Relativity and Quantum Cosmology · Physics 2013-07-10 Yu. G. Ignat'ev

A complete model of cosmological evolution of a classical scalar field with the Higgs potential is studied and simulated on a computer without assumption that the Hubble constant is nonnegative. The corresponding dynamical system is…

General Physics · Physics 2021-08-18 Yu. G. Ignat'ev , A. R. Samigullina

Cosmological solutions of Einstein's equations for equilibrium statistical systems of particles with scalar interaction are investigated. It is shown that the scalar field can effectively change the state equation of a statistical system,…

General Relativity and Quantum Cosmology · Physics 2010-11-29 Yu. G. Ignatyev , R. F. Miftakhov

A mathematical model is constructed for the evolution of spherical perturbations in a cosmological one-component statistical system of completely degenerate scalarly charged fermions with a scalar Higgs interaction. A complete system of…

General Relativity and Quantum Cosmology · Physics 2023-07-03 Yu. G. Ignat'ev

Cosmological solutions of the equations with scalar interaction are being studied. It is shown, that the scalar field can effectively change the equation of state of statistical system, that leads to series of cosmological consequences.

General Relativity and Quantum Cosmology · Physics 2015-03-17 Yu. G. Ignatyev , R. F. Miftakhov

A complete cosmological evolution model of the classical scalar field with a Higgs potential is studied and simulated on a computer without the assumption that the Hubble constant is nonnegative. It is shown that with most initial…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Yu. G. Ignat'ev , A. R. Samigullina

On the basis of the relativistic kinetic theory the mathematical model of cosmological plasmas with an attraction of the like charged scalar particles is formulated. It is shown, that cosmological the model, based on a classical scalar…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yu. G. Ignat'ev

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…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Yu. G. Ignat'ev

On the basis of Hamilton a formalism the dynamic equations of movement scalar charged particles in a classical scalar field are formulated. Unlike earlier published works of the author the model with zero own weight of particles is…

General Relativity and Quantum Cosmology · Physics 2013-07-09 Yu. G. Ignat'ev

Based on the mathematical model of a statistical system with scalar interaction of fermions formulated earlier, a cosmological model based on a two-component statistical system of scalar charged degenerate fermions interacting with an…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Yu. G. Ignat'ev , A. A. Agathonov , D. Yu. Ignatyev

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerate scalar-charged fermions with Higgs scalar interaction for short-wave perturbations is formulated. These disturbance…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Yu. G. Ignat'ev

Based on mathematical model of the statistical Fermi system with the interparticle interaction which was constructed in the previous articles, this work offers the construction and analysis of the numerical models of cosmological evolution…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Yu. G. Ignatyev , A. A. Agathonov

The flows of phase trajectories of cosmological models based on the vacuum classical Higgs field and their behavior on the Einstein-Higgs surface near singular points of a dynamical system are investigated by numerical simulation. The…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Yu. G. Ignat'ev , A. R. Samigullina

Mathematical models describing the cosmological evolution of classical and phantom scalar fields with self-action are formulated and analyzed. Systems of dynamical equations in the plane, describing homogeneous cosmological models, have…

General Relativity and Quantum Cosmology · Physics 2019-03-15 Yu. G. Ignat'ev , A. A. Agathonov

We provide a new multi-waveband compilation of the data describing the cosmological evolution of quasars, and discuss a model that attributes the evolution to variation in the rate of merging between dark halos in a hierarchical universe.…

Astrophysics · Physics 2007-05-23 L. Miller , W. J. Percival

A mathematical model of the Universe evolution, based on asymmetric doublet of classical and phantom dcalar Higgs fields with a kinetic connection between the components, has been constructed and studied. A detailed qualitative analysis was…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Yu. G. Ignat'ev , I. A. Kokh
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