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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…

General Relativity and Quantum Cosmology · Physics 2022-03-24 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

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…

General Physics · Physics 2023-05-26 Yu. G. Ignat'ev

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

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

Solutions of the system of evolutionary equations in the short-wavelength approximation are found and studied. A connection is established between the problem of the evolution of short-wavelength gravitational-scalar perturbations and the…

General Physics · Physics 2023-02-22 Yu. G. Ignat'ev

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

On the basis of 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…

General Relativity and Quantum Cosmology · Physics 2022-11-29 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

Based on the previously formulated mathematical model of a statistical system with scalar interaction of fermions, a cosmological model based on a one-component statistical system of doubly scalar charged degenerate fermions interacting…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Yu. G. Ignat'ev , A. A. Agathonov , D. Yu. Ignatyev

We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

A phenomenological model of an ideal fluid with a scalar charge is formulated, on the basis of which a model with a neutral fluid and a vacuum-field model with rules of transition between them are constructed. A qualitative analysis of the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Yu. G. Ignat'ev

In a class of non-singular cosmologies derived from higher-order corrections to the low-energy bosonic string action, we derive evolution equations for the most general cosmological scalar, vector and tensor perturbations. In the large…

Astrophysics · Physics 2009-11-06 Cyril Cartier , Jai-chan Hwang , Edmund J. Copeland

The article represents a research of the cosmological evolution of fermion statistical systems with fantom scalar interaction where "kinetic" term's contribution to the total energy of a scalar field is negative. As a result of analytical…

General Relativity and Quantum Cosmology · Physics 2016-08-18 Yurii Ignat'ev , Alexander Agathonov , Dmitry Ignatyev

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

We consider the linear perturbations for the single scalar field inflation model interacting with an additional triad of scalar fields. The background solutions of the three additional scalar fields depend on spatial coordinates with a…

General Relativity and Quantum Cosmology · Physics 2013-09-04 Seoktae Koh , Seyen Kouwn , O-Kab Kwon , Phillial Oh

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

We consider scalar perturbations of energy--density for a class of cosmological models where an early phase of accelerated expansion evolves, without any fine--tuning for graceful exit, towards the standard Friedman eras of observed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Capozziello , G. Lambiase , G. Scarpetta

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

In this brief note we present a set of equations describing the evolution of perturbed scalar fields in a cosmological spacetime with multiple scalar fields. We take into account of the simultaneously excited full metric perturbations in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hwang
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