### All Issues

#### 2023:

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**A.V. Aminova, D.R. Khakimov**[ PDF ]

Projective symmetries of five-dimensional spaces**A.K. Guts**[ PDF ]

Filled space, logic and grandfather’s paradox**A.V. Aminova, D.R. Khakimov**[ PDF ]

Procedure of distances decompactification in the relational approach**I.E. Tsyplova, N.V. Glukhova, A.V. Golubkov**[ PDF ]

Modification of quaternion method of 3D rotation discription by means of orthogonal projections**S.V. Chervon, I.V. Fomin, T.I. Chaadaeva**[ PDF ]

Investigation of the Chiral Cosmological Model of \(f (R, \square R)\) gravity

Materials of the V International Winter School-seminar on Gravity, Astrophysics and Cosmology "Petrovsky Readings — 2022"

**A.V. Aminova, D.R. Khakimov**[ PDF ]

Symmetries of five-dimensional spaces in the form of Lie algebras of projective motions**A.B. Balakin, G.B. Kiselev**[ PDF ]

Nonlinear interaction of the axion field with dynamic aether and SU(2) symmetric gauge field in the anisotropic Universe**A.M. Baranov**[ PDF ]

Algebraic classification of the differential curvature form and the gravitational fields**K.A. Bolshakova, S.V. Chervon**[ PDF ]

Higgs inflation model and observational data**R.G. Galeev, S.V. Sushkov**[ PDF ]

Anisotropic cosmological models of Bianchi type I, V, IX in gravity theory with nonminimal coupling**D.V. Gal’tsov, A.V. Kulitskii**[ PDF ]

Benenti-Francaviglia separability and Petrov types**K.A. Gatin, R.K. Muharlyamov, S.V. Sushkov**[ PDF ]

Symmetries of five-dimensional spaces in the form of Lie algebras of projective motions**D.E. Groshev, D.A. Spasov**[ PDF ]

Hyperbolic-logarithmic model of nonlinear electrodynamics**E.S. Dentsel, I.V. Fomin**[ PDF ]

Exact solutions in cosmological models with non-minimal coupling of scalar field and torsion**A.O. Efremova, A.B. Balakin**[ PDF ]

Axionic extension of the Einstein-Diracaether theory: Degeneracy removal with respect to shear of the aether flow**F.Sh. Zaripov, N. Njiya**[ PDF ]

Solution of the geodesic equation in the induced theory of modified gravity for the case of a centrally symmetric space**F.Sh. Zaripov, E.S. Ulyanova**[ PDF ]

Solution of the Geodesic Equation in the Induced Theory of Modified Gravity for the Case of Cosmological Models**O.I. Zenin, S.O. Alexeyev, V.A. Prokopov**[ PDF ]

Exact solutions in cosmological models with non-minimal coupling of scalar field and torsion**Yu.G. Ignat’ev**[ PDF ]

Evolution of spherical perturbations in the cosmological medium of degenerate scalarly charged fermions with a Higgs scalar field**A.S. Ilin, A. B. Balakin**[ PDF ]

Nonlocal extension of relativistic nonequilibrium thermostatics**V.A. Ishkaeva, S.V. Sushkov**[ PDF ]

The shadow of the Ellis–Bronnikov wormhole and its throat silhouette**P.E. Kashargin, S.V. Sushkov**[ PDF ]

Stability of anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling**G.D. Manucharyan**[ PDF ]

On the possibility of detecting relic gravitational waves in different models of cosmological inflation with Gauss-Bonnet scalar**A.R. Samigullina**[ PDF ]

Features of phase trajectories in the complete model of cosmological evolution based on classical scalar field with Higgs potential**N.A. Samorodov, V.A. Popov**[ PDF ]

Stability of gravitationally bounded Bose-Einstein condensate consisting of selfinteracting bosons**A.V. Ursulov, E.S. Yudina**[ PDF ]

Wave perturbations and gravitational instabilities in the Nonlocal Newtonian Gravity**A.A. Chaadaev**[ PDF ]

Spherically symmetric solutions of the chiral self-gravitating \(f(R, (\nabla R)^2)\) model of gravity in quasi-global coordinates**S.V. Chervon, I.V. Fomin, T.I. Chaadaeva**[ PDF ]

Chiral cosmological model of \(f(R, \square R)\) gravity**A.F. Shakirzyanov, A.B. Balakin**[ PDF ]

Axion electrodynamics on the Bianchi spacetime platform: Fingerprints of shear of the aether velocity

#### 2022:

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**A.K. Guts, M.N. Podoksenov**[ PDF ]

Topological description of the formation of wormholes in the general theory of relativity**V.M. Zhuravlev**[ PDF ]

The magnetic field of stars in dynamic equilibrium**V.V. Kassandrov**[ PDF ]

The algebrodynamics: quaternionic analysis, complex string and the Unique Worldline**A.N. Morozov, I.S. Golyak, I.V. Fomin, S.V. Chervon**[ PDF ]

Detectors of high-frequency gravitational waves based on the gravitational-optical resonance

A RELATIONAL VIEW OF THE NATURE OF SPACE-TIME AND PHYSICAL INTERACTIONS

**Yu.S. Vladimirov**[ PDF ]

Binary Pre-geometry of Microworld (Microworld Physics Algebra)**Yu.S. Vladimirov**[ PDF ]

Relational Justification of Hadron Types and Charges

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**V.O. Gladyshev, I.V. Fomin**[ PDF ]

III Summer International Youth School «Gravity, Cosmology and Astrophysics» dedicated to the memory of Academician of the Russian Academy of Sciences V.I. Pustovoit**A.N. Morozov**[ PDF ]

In memory of Vladislav Ivanovich Pustovoit**V.A. Berezin, V.I. Dokuchaev**[ PDF ]

Weyl geometry and cosmological particle creation**S.V. Chervon**[ PDF ]

Chiral self-gravitational models: exact solutions and calculation of cosmological parameters**I.V. Fomin**[ PDF ]

Methods for constructing and verifying inflationary models of the early universe**L.H. Kauffman**[ PDF ]

Remarks on the Dirac Equation**B. Mishra, A. Agrawal, S.K. Tripathy**[ PDF ]

Bouncing Cosmology in Modified Theories of Gravity**S.L. Andrusenko, D.P. Krichevskiy, V.N. Rudenko**[ PDF ]

Black holes and the nature of the event horizon**S.K. Tripathy, B. Mishra**[ PDF ]

Exact solutions in Modified Gravity theories**E.S. Dentsel, I.V. Fomin**[ PDF ]

Generalized exact solutions in cosmological models with non-minimal coupling of scalar field and torsion**G.D. Manucharyan, I.V. Fomin**[ PDF ]

Corrections to standard inflationary models induced by Gauss - Bonnet scalar

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**T.Yu. Alpin, A.B. Balakin, A.V. Vorohov**[ PDF ]

Relativistic nonlinear axion magnetohydrodynamics**E.D. Emtsova, A.N. Petrov**[ PDF ]

A moving black hole in TEGR as a moving matter ball**V.A. Ishkaeva, S.V. Sushkov**[ PDF ]

The shadow of the Ellis–Bronnikov wormhole**D.S. Lisenkov, A.A. Popov**[ PDF ]

Vacuum polarization of a quantized scalar field in the thermal state on the short–throat flat–space wormhole background

APPLIED MATHEMATICS, MATHEMATICS AND COMPUTER SIMULATION

**M.Kh. Lyulinsky**[ PDF ]

Soft for Dirac‘s matrices manipulation — SUSY_DIRACUS package

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**A.M. Baranov**[ PDF ]

Weak gravitational waves and Petrov classification**A.M. Baranov**[ PDF ]

Weak gravitational waves and Petrov classification**M. Belevich**[ PDF ]

Continuum mechanics from an observer’s viewpoint (a variant of relativistic field theory free from some known paradoxes)**Yu.G. Ignat’ev**[ PDF ]

Gravitational-scalar unstability of a cosmological model based on a two-component statistical system with asymmetric scalar Higgs fermion interaction

#### 2020:

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**R.V. Bikmurzin, D.P. Fedchenko**[ PDF ]

Method for constructing a classifier of stars from the GAIA DR2 catalog for the presence of exoplanets**V.M. Zhuravlev**[ PDF ]

Models of the dynamics of a self-gravitating polytropic gas**A.V. Morgunova, O.S. Sazhina**[ PDF ]

Discrepancies in observational data in cosmology with Hubble parameter as an example

RUSSIAN PHYSICAL ARCHIVE

**Yu.G. Ignat’ev, A.V. Zakharov**[ PDF ]

To the method of the kinetic equation in general relativity

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**V.V. Aristov**[ PDF ]

Theoretical interpretation of dark matter in concept of relational statistical spacetime**A.B. Balakin, Z.Z. Tukbaev**[ PDF ]

Extended relativistic non-equilibrium thermostatics of stellar structures with radiation pressure**A.M. Baranov, E.V. Saveljev**[ PDF ]

Exact solutions of the conformally flat Universe. I. The evolution of model as the problem about a particle movement in a force field**V.M. Zhuravlev**[ PDF ]

Muldimensional realization of fundamental fields

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**I.R. Stakhovsky**[ PDF ]

Dissipative structures of seismic kinetics

RUSSIAN PHYSICAL ARCHIVE

**G.G. Ivanov, S.V. Chervon, A.V. Khapaeva**[ PDF ]

Friedmann cosmological model with nonlinear scalar field

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**O.V. Babourova, Yu.A. Portnov, B.N. Frolov, V.E. Shamrova**[ PDF ]

On principle of geodesics in the space of the Lorentz group parameters**A.V. Belinsky, M.H. Shulman**[ PDF ]

Black Hole creation, causality, non-locality**V.D. Gladush**[ PDF ]

Spherically symmetric T- and R-solutions of the equations of the 5-dimensional Kaluza-Klein theory and its generalizations**A.N. Morozov, V.I. Pustovoit, I.V. Fomin**[ PDF ]

On the gravitational waves coupled with electromagnetic waves**E.A. Morozov, A.R. Morozova, L.E. Morozova**[ PDF ]

On the use of bivector formalizm in Hamiltonian mechanics**N.N. Popov**[ PDF ]

Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)**I.V. Fomin, S.V. Chervon, S.D. Maharaj**[ PDF ]

Application of the Schrodinger Equation in Exact Scalar Field Cosmology

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**D.P. Fedchenko, R.V. Bikmurzin**[ PDF ]

Automaton representation of fullerene type molecules

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**A.V. Aminova, D.R. Khakimov**[ PDF ]

Projective-group properties of \(H\)-spaces \(H_{5}\) of type {5}**O. Aslan, A.A. Popov**[ PDF ]

Self-action of electromagnetic charge in a wormhole with an infinitely short throat**Yu.S. Vladimirov**[ PDF ]

Electromagnetism, gravitation and Mach’s principle**N.N. Popov**[ PDF ]

Space-time structure in the microcosm and the properties of elementary particles**S.V. Chervon, J.C. Fabris, I.V. Fomin**[ PDF ]

Spherical symmetric solutions of f(R) gravity with a kinetic curvature scalar

#### 2019:

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**A.V. Aminova, D.R. Khakimov**[ PDF ]

\(H\)-spaces (\(H_{41}\), \(g\)) of type {41}: projective group properties**A.M. Baranov**[ PDF ]

Painleve-like coordinates and modeling of static gravitational ball**A.K. Guts**[ PDF ]

The theories of spacetime**P.N. Klepikov, D.N. Oskorbin, E.D. Rodionov**[ PDF ]

On Almost Einstein Locally Homogeneous (pseudo)Riemannian Manifolds**A.N. Petrov, J.B. Pitts**[ PDF ]

The Field-Theoretic Approach in General Relativity and Other Metric Theories. A Review**O.S. Sazhina, M. Capaccioli**[ PDF ]

Observational Basics of Cosmology

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**V.A. Beresin**[ PDF ]

Cosmology from Adam and Eve to Alexis Starobinsky. Part 3**A.V. Aminova, M.Kh. Lyulinsky**[ PDF ]

Non-vanishing cosmological constant effect in super-Poincare-invariant Universe**A.K. Guts**[ PDF ]

The quantum time machine**Yu.G. Ignat’ev, A.R. Samigullina**[ PDF ]

Numerically – analytical methods for mathematical modeling of nonlinear dynamic systems in CAS Maple. IV. Testing package on accuracy and speed of calculations**A.B. Molchanov**[ PDF ]

Cosmic microwave background in the relational approach**I.V. Kichigin, S.F. Tegai**[ PDF ]

Polish doughnuts in Gutsunaev–Manko spacetime

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**P.E. Brandyshev, B.N. Frolov**[ PDF ]

Inflaton and the higgs field in the conformal theory of supergravity**A.L. Krugly**[ PDF ]

The discrete model of spacetime and the binary pregeometry of Vladimirov**V.A. Berezin**[ PDF ]

Cosmology from Adam and Eve to Alexis Starobinsky. Part 1**V.A. Berezin**[ PDF ]

Cosmology from Adam and Eve to Alexis Starobinsky. Part 2

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**S.V. Smolin**[ PDF ]

The analytical description of the Earth’s ring current proton flux for the pitch angle of 90 degrees (in Russian)**S.V. Smolin**[ PDF ]

The analytical description of the Earth’s ring current proton flux for the pitch angle of 90 degrees**I.R. Stakhovsky**[ PDF ]

Seismic process scale-invariant structure changes before the Northern Baja earthquake (Mexico)

EVENTS AND PERSONALITIES

**Yu.S. Vladimirov**[ PDF ]

Nikolai Vsevolodovich Mitskevitch (1931-2019)**S.V. Sushkov, A.V. Khapaeva, S.V. Chervon, L.A. Busil**[ PDF ]

«PETROV SCHOOL-2018» – 4th INTERNATIONAL WINTER SCHOOL-SEMINAR ON GRAVITY, COSMOLOGY AND ASTROPHYSICS

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**I.G. Abdullin, V.A. Popov**[ PDF ]

Bose-condensed dark matter halos with nondegenerate component**A.V. Aminova, D.R. Khakimov**[ PDF ]

On projective motions of 5-dimensional spaces II. h-spaces of the type {41}**A.V. Aminova, D.R. Khakimov**[ PDF ]

On projective motions of 5-dimensional spaces III. h-spaces of the type {5}

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**A.S. Batyrev, R.A. Bisengaliev, E.V. Sumyanova**[ PDF ]

Influence of electron bombardment to the photo-conductivity spectra of CdS crystals**T.M. Bosenko**[ PDF ]

Seismic scalings interrelationship by the reference to seismicity of Kyushu island (Japan)

#### 2018:

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**V.V. Aristov**[ PDF ]

Relational statistical spacetime and joint description of quantum and gravitational effects**A.V. Aminova, D.R. Khakimov**[ PDF ]

On projective motions of 5-dimensional spaces i. \(h\)-spaces of the type {32}**T.Y. Alpin, A.B. Balakin**[ PDF ]

Dynamo-optically active media: new aspects of the Minkowski-Abraham controversy**D.V. Gal’tsov, K.V. Kobialko**[ PDF ]

Photon and transversely trapping surfaces in stationary spacetime**S.O. Komarov, A.K. Gorbatsievich**[ PDF ]

Redshift of electromagnetic spectrum of radiation of the source that moves in the field of rotating black hole**A.K. Guts**[ PDF ]

General Relativity based on intuitionistic logic**V.S. Kirchanov**[ PDF ]

The Geometrization of the Phase Space

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**T.M. Bosenko**[ PDF ]

Simulation of nonequilibrium processes of thermal conductivity of thermal effects on the surface of multilayer materials**A.V. Goryunov, A.I. Prokofiev, A.M. Romanenkov**[ PDF ]

Thermal stresses in stiffened cylindrical shell by heating plane parallel heat flow**V.G. Nevolin**[ PDF ]

Dispersion of fluid by a vortex generator

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**P.E. Brandyshev, B.N. Frolov**[ PDF ]

Cosmological inflation in supersymmetric conformal theory**V.M. Zhuravlev**[ PDF ]

On integrable nonlinear Dirac equations with 1+3 dimension**E.A. Morozov, A.R. Morozova, L.E. Morozova**[ PDF ]

On the use of covariant and contravariant vector spaces in mechanics**A.V. Belinsky, M.H. Shulman**[ PDF ]

On the relativity of the measure of nonlocality in quantum mechanics

OPTICS

**K.A. Shapovalov**[ PDF ]

Light scattering by a multilayer cylinder in the Wentzel-Kramers-Brillouin approximation

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**I.H.A. Al Umari, N.F. Kashapov, V.G. Saitkulov**[ PDF ]

The development of ultrasonic methods of measuring the condition of the electrolyte in the combustion process with an electric discharge electrode**V.A. Kalytka**[ PDF ]

Investigating the scheme of numerical calculation the parameters of non-linear electrophysical processes by minimizing comparison function method**V.A. Kudinov, O.Yu. Kurganova, T.E. Gavrilova, E.V. Stefanyuk, I.V. Kudinov**[ PDF ]

Study of thermostressed condition cylinder of high pressure of steam turbine T – 100 – 130

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**O. Aslan, A.A. Popov**[ PDF ]

Self-action of a scalar charge in a charged extreme anti-dilatonic wormhole**O.V. Babouriva, Yu.A. Portnov, B.N. Frolov, V.E. Shamrova**[ PDF ]

On geodesic in the space of the group rotation parameters**V.D. Gladush, M.H. Holovko**[ PDF ]

Space-time and configuration manifolds of a spherically-symmetric system of gravitational and electromagnetic fields**I.V. Fomin**[ PDF ]

Exact solutions in cosmology based on nonliniar sigma-models**I.V. Fomin**[ PDF ]

The exact solutions construction in cosmology based on Horndeski gravity

ASTROPHYSICS AND STAR ASTRONOMY

**A.P. Ekonomov, P.V. Struct, V.V. Kerzhanovich, V. M. Linkin, A.N. Lipatov, V.S. Makarov, A.B. Manukin**[ PDF ]

Venus theoretical and experimental atmosphere superrotation study

HIGH ENERGY PHYSICS

**S.V. Smolin**[ PDF ]

Modeling of relativistic electron flux at geostationary orbit in the Earth’s magnitosphere

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

THE GRAVITY, COSMOLOGY AND FUNDAMENTAL FIELDS

**A.M. Baranov**[ PDF ]

Once again on the Friedman-like model of open Universe with pressure**A.V. Kulitskii**[ PDF ]

Unified treatment of fields of different spins in type N metrics**I.V. Fomin**[ PDF ]

Exact solutions in Friedmann cosmology with scalar fields**I.V. Fomin**[ PDF ]

Exact solutions in Friedmann cosmology with scalar fields (in english)**Yu.S. Vladimirov, D.A. Tereshchenko**[ PDF ]

Relational description of electroweak interactions**S.V. Chervon, A.S. Kubasov, K.A. Bolshakova**[ PDF ]

Cosmological inflation in tensor-multi-scalar theory of gravitation**S.V. Chervon, A.S. Kubasov, K.A. Bolshakova**[ PDF ]

Cosmological inflation in tensor-multi-scalar theory of gravitation (in english)

APPLIED ASPECTS OF FUNDAMENTAL SCIENCE METHODS

**Yu.A. Kostikov, V.Y. Pavlov, A.M. Romanenkov**[ PDF ]

Optimization of vibration frequencies of the elastic plate in an ideal fluid**L.A. Borinyak, M.R. Mirsiyapov, N.Yu. Petrov**[ PDF ]

Development of the method of vibrometry for the diagnosis of armored plates

#### 2017:

For hundredth anniversary of the general relativity

The Gravity, Cosmology and Fundamental Fields

**A.M. Baranov**

Friedmanlike model with pressure on the Friedman solution basis for the open Universe**A.B. Balakin, A.V. Andreianov**

SU(N)–symmetric dynamic aether: General formalism and a hypothesis on spontaneous color polarization**R.V. Korolev, S.V. Sushkov**

Exact wormhole solutions with nonminimal kinetic coupling and the cosmological constant**N.I. Bragarchuk**

Distances and Time Analysis of particles movement in the vicinity of rotating black holes

Applied Aspects of Fundamental Science Methods

The Gravity, Cosmology and Fundamental Fields

**A.M. Baranov**

An extension of the Friedman open cosmological model in the presence of viscosity**N.V. Osadchenko**

\(C^2\) Monotone spline interpolation based on oneparameter groups of diffeomorphism**Yu.G. Ignat’ev, A.R. Samigullina**

Numerically-analytical methods for mathematical modeling of nonlinear dynamic systems in CAS Maple. III. Visualization of nonlinear dynamics systems and applications to mechanics and cosmology**L.G. Salekhov, E.V. Chebotareva**

Iterative Method of Polynomial Differentiation for One Class of Convolution Equations

Applied Mathematics, Mathematics and Computer Simulation

In Order of Discussion

Applied Aspects of Fundamental Science Methods

Events and Personalities

The Gravity, Cosmology and Fundamental Fields

**V.M. Zhuravlev**

Dynamics of dust near the gravitating center. The integrals of motion**Yu.S. Vladimirov, A.B. Molchanov**

Generalized Hubble’s law in the relational approach**Yu.G. Ignat'ev**

Qualitative and numerical analysis of cosmological models based on asymmetrical scular dubblet: classical + phantom scalar field. I. The case of minimally interacting scalar fields: a qualitative analysis

Theoretical Mechanics and Optics

Applied Mathematics, Mathematics and Computer Simulation

The Gravity, Cosmology and Fundamental Fields

**V.M. Zhuravlev**

Models of dynamics of dust-like matter in its own gravitational field**A.M. Baranov**

Evolution of the open cosmological model with radiation**S.V. Chervon, A.V. Nikolaev, T.I. Mayorova**

On the derivation of field equation of f(R) gravity with kinetic scalar curvature**A.V. Belinsky, M.H. Shulman**

On the relative photon correlation non-locality**Yu.G. Ignat'ev, A.A. Agathonov**

Qualitative and numerical analysis of the cosmological model based on the phantom scalar field with self-interaction. II. Comparative analysis of models of classical and phantom fields**Yu.S. Vladimirov, D.A. Tereshchenko**

Mach's principle in the geometrical paradigm

The Mathematical Methods and Mathematical Physics, Including Group Methods

**D.P. Goloskokov**

Building a basis for one-dimensional bound\-ary-value problems in systems of symbolic computations**E.V. Chebotareva**

Automated solution to one class of convolution equations in the space of distributions with one-sided bounded support

Software for Scientific Research

**Yu.G. Ignat'ev, A.A. Agathonov**

The software package EquiSurface for visualization of equipotential surfaces in CAS Maple**Yu.G. Ignat`ev, M.L. Mikhailov**

The software package SORTARRAY the ordering of the arrays and the construction of curves and surfaces in 2-5-dimensional data array in CAS Maple**Yu.G. Ignat'ev, A.R. Samigullina**

The software package DifEqTools numerical - analytical modeling of nonlinear dynamic systems and building graphic computer models**E.V. Chebotareva**

Library ConvEq for automated solution to one class of convolution equations

#### 2016:

For hundredth anniversary of the general relativity

Original articles

**A.M. Baranov**

Algebraic type of a spherical gravitational field and the Birkhoff theorem**A.V. Belinsky, M.H. Shulman**

Quantum correlations and Superluminal interaction**V.M. Zhuravlev**

Qualitative analisys of cosmological models with scalar fields**Yu.G. Ignat’ev, A.A. Agathonov**

The qualitative and numerical analysis of the cosmological model based on phantom scalar field with self interation**Yu.G. Ignat‘ev, M.L. Mikhailov**

The cosmological evolution of weakly degenerate asymmetric plasma phantom scalar interparticle interaction**Yu.G. Ignat’ev, A.R. Samigullina**

Numerically-analytical methods for mathematical modeling of nonlinear dynamic systems in CAS Maple**A.M. Rasulova**

Analysis of the geodesic deviation equations in the Schwarzschild metric

Applied problems

- Editorial
**S.M. Nayman, E.K. Vachagina**

Probability laws and waste generation**M.N. Kirsanov**

Theoretical and applied problems of theory of stability

Software

**Yu.G. Ignat’ev, A.A. Agathonov**

The software package «GravPerturbations» in CASMaple for automatic computation of tensor objects in the second order of perturbation theory**Yu.G. Ignat’ev, A.R. Samigullina**

Program complex for numerical and analytical mathematical modeling of nonlinear dynamic systems in CAS Maple

**A.V. Belinsky, A.K. Zhukovskiy**

“Quantum nonlocality” or “nonlocal realism”?**Yu.G. Ignat’ev**

The standard cosmological model: mathematical, qualitative and numerical analysis**Yu.G. Ignat’ev**

Qualitative and numerical analysis of the standard cosmological model with $Lambda$ - term**Yu.G. Ignat’ev, A.A. Agathonov**

Statistical Cosmological Fermion Systems With Interparticle Fantom Scalar Interaction

For hundredth anniversary of the general relativity

Original articles

**Yu.S. Vladimirov, S.V. Bolokhov**

On the theory of the direct interparticle electro-gravitational interaction**V.V. Voytik**

Some geometric consequences of curvilinear uniformly accelerated motion**Yu.G. Ignat'ev**

Macroscopic Einstein Equations and Cosmology of Yearly Universary. I. A Mathematical Model for the Transverse Fluctuations

Methodical materials

For hundredth anniversary of the general relativity

**V.G. Bagrov, V.A. Bordovitsyn, A.V. Kulikova**

Covariance problem in relativistic radiation theory**M.P. Korkina**

Famous exact solutions of General Relativity equations**I.R. Mubarakshin**

On the postulates of the special theory of relativity

Original articles

**A.V. Belinsky, Ju.S. Vladimirov**

Relational-statistical nature of quantum theory laws**Yu.S. Vladimirov, D.A. Tereshchenko**

Relational-statistical justification of the hydrogen atom’s O(4)-symmetry**Yu.G. Ignat'ev, I.A. Kokh**

Diffuzion model of the cosmlogical evolution of ultrahigh-energy particles in the scaling conditions at unitary limit**M.A. Masterova, V.Ya. Epp**

Force free surface around a rotating magnetized celestial body**S.A. Podosenov, E.R. Men'kova**

Introduction into classical mezodynamics of bound nucleons

#### 2015:

For hundredth anniversary of the general relativity

**A.M. Baranov**

Double anniversary of the theory of relativity**Yu.S. Vladimirov**

Special and general relativity: from creation up to now**A.K. Guts**

The principle of general covariance and exotic R4 in General Relativity

Original articles

**Yu.S. Vladimirov**

Relational foundation of space-time theory and interactions**Yu.G. Ignat'ev, M.L. Mikhailov**

The cosmological evolution of asymmetric Boltzmann plasma interparticle classical scalar interaction. I. Phase transitions:a simplified model**Yu.G. Ignat'ev, A.A. Agathonov**

Statistical Cosmological Systems of Strongly Degenerate Scalar Charged Fermions**V.M. Zhuravlev**

Geometry, Topology and Physical Fields. Part IV. Topological structure of elementary particles

**Yu.G. Ignat'ev**

Physical Instability Inflationary Model of the Universe (de Sitter) Start**Yu.G. Ignat'ev**

Macroscopic Cosmology of Yearly Universary**M.A. Masterova, V.Ya. Epp**

Dynamics of a Charge Particle in the Field of Rotating Magnetized Celestial Body**I.V. Bakhmatov, E.T. Musaev**

Fermionic T-duality as Involution on the Solution Space of Type II Supergravity**V.M. Zhuravlev**

Geometry, Topology and Physical Fields. Part III. Equation of Induction of a Fundamental Fields**A.M. Baranov, Eu.V. Saveljev**

Exact Solutions of the Conformally Flat Universe. IV. Cosmological Model with the "Bottle" Potential**Edition Board**

Vladimir Romanovich Kaigorodov

**A.P. Yefremov**

Physical laws in the medium of hypercomplex numbers: theory of relativity**V.M. Zhuravlev**

Thermodynamics model of normal stars evolution**Yu.G. Ignat'ev**

Nonminimal macroscopic models of a scalar field based on microscopic dynamics. IV. Advancing theory on the conformal invariant scalar fields**V.V. Voytik**

Some ways parameter calculation curvilinear uniformly accelerated motion**Yu.G. Ignat'ev**

Relativistic Dynamics and Invariant Functions of Sources

**Yu.G. Ignat'ev**

Nonminimal macroscopic models of a scalar field based on microscopic dynamics. III. Advancing theory on negative masses**A.A. Popov**

Static spherically symmetric solutions in 4D Einstein-Maxwell-anti-dilaton theory**V.A. Popov**

Resonant SQUID-based detection of Dark Matter Axion using rectangle cavities**Yu.A. Portnov**

On free-falling objects in expanding Universe**V.V. Voytik**

The proper characteristics of frame reference as a 4-invariants

#### 2014:

**V.M. Zhuravlev**

Geometry, topology and physical fields. Part I. Eleñtric charge and interaction**V.M. Zhuravlev**

Geometry, topology and physical fields. Part II. Mass and gravitation**A.V. Belinsky, V.B. Lapshin**

Photon model: electromagnetic field or action at a distance concept?**I.S. Nurgaliev**

Cosmology without Prejudice**A.M.Baranov, Eu.V. Saveljev**

Exact solutions of the conformally flat Universe. III. The "interior" solution

**A.P. Yefremov**

Physical laws in hypercomplex medium: mechanics**Yu.G. Ignat'ev, A.A. Agathonov, D.Yu. Ignatyev, M.L. Mikhailov**

Nonminimal macroscopic models of a scalar field based on microscopic dynamics. II. Cosmological evolution of the plasma with interparticle phantom interaction**Yu.A. Portnov**

Dynamic and static cosmological constant in a seven-dimensional gravitational equations**Yu.G. Ignat'ev, V.A. Bushkova**

Computer simulation and the clothing operated dynamic visualization of curves in differential, Riemannian geometry and Theory of Gravitation

**A.P. Yefremov**

Pregeometric structure of associative algebras and quaternion spaces as mathematical medium of physical laws**R.V. Korolev, S.V. Sushkov**

Exact regular solutions in the gravity theory with a non-minimal kinetic constraint**V.V. Voytik**

On the equations of the inverse kinematics problem**A.M. Baranov, Eu.V. Saveljev**

Exact solutions of the conformally flat Universe. I. The evolution of the model as the problem about a particle movement in a force field**Yu.G. Ignat'ev**

Nonminimal macroscopic models of a scalar field based on microscopic dynamics. I.**I.S. Nurgaliev**

Physics is above all (Jakov Borisovich Zeldovich as a teacher thoughts at 100th anniversary of his birth

#### 2013:

**A.M. Baranov**

A model of the Reinssner-Nordstrom interior source**A.M. Baranov, Eu.V. Saveljev**

Conformally flat model of the open Universe with an arbitrary function of state**Yu.G. Ignat'ev**

Thermodynamic equilibrium in the accelerated Universe is not available?**V.M. Zhuravlev**

Nonlinear wave equations and the first order complex quasilinear equations- International Winter School-Seminar on Gravitation, Cosmology and Astrophysics "Peter Readings"

**Yu.G. Ignat'ev**

Nonequilibrium Kinetics Universe Models. IV. Model of a power balance for a stage with arbitrary acceleration**A.P Yefremov**

Bohr's model of H-atom is a solution of Schr'odinger equation**A.K. Guts**

Reality and time machine**A.M. Baranov**

Generalization of the open cosmological model with radiation**L.N. Krivonosov, V.A. Luk'yanov**

Solution of Yang-Mills equations for central-symmetric metric in the presence of electromagnetic field**I.R. Mubarakshin**

About Newton, conic sections and the inverse-square law

**Yu.G. Ignat'ev**

Nonequilibrium Kinetics Universe Models. III. Energy-Ballance Model for the Inflation Stage**A.M. Baranov**

Another approach to the algebraic classification of electromagnetic field**V.T. Volov**

Quasigravitational fields modelling on the super sound swirling gas and plasma flows basis**N.N. Paklin, M.S. Sokolova**

Symmetries and conservation laws of the gravitation equations in vacuum**A.I. Dolgarev, I.A. Dolgarev**

Curved spaces with the right-handed rastran**M.P. Korkina, O.O. Iegurnov**

Cosmological model with perfect fluid and de Sitter universe**A.B. Balakin, A.E. Zayats**

Nonminimal field theory: I. Extension of the Einstein-Yang-Mills model**N.R. Khusnutdinov**

The Abel-Plana formulas**Yu.G. Ignat'ev**

Lectures on the problems of the modern cosmology read by the actual member of the Russian Scientific Academy Alexey Alexandrovoch Starobinsky in the Kazan State University

**Yu.S. Vladimirov**

From Quantum Gravity to the Relational-Statistical Space-Time Theory**Yu.G. Ignat'ev**

Nonequilibrium Kinetics Universe Models. II. Energy-Ballance Model**A.M. Baranov**

Conformally Galilean 4-metric and Kinemetric Reference Frames**V.D. Gladush**

Sommerfeld-Lenz method in General Relativity and its generalization**I.S. Nurgaliev**

Vorticity Induces Cosmological Term of Nonsingular Universe and Removes Darkness**Yu.S. Vladimirov, M.Yu. Romashka**

Modified Newtonian dynamics (MOND) and its possible interpretations**A.M. Baranov, I.V. Zhabrun**

A description of the open Universe model by the Bessel functions**A.V. Aminova**

Kazan school of Relativity and Gravitation- International Scientific Seminar "Non-Linear Fields in Gravity and Cosmology" and Russian School "Mathematical and Computer Modelling of Fundamental Objects and Phenomena"
- Rules of Arrangement of Applied Materials

#### 2012:

**A.I. Egorov, P.E. Kashargin, S.V. Sushkov**

Scalar multi-wormholes**A.M. Baranov**

The Phase Transitions in Gravitational and Electromagnetic Fields with relation Petrov's Algebraic Classification**A.M. Baranov, N.N. Paklin**

Method of generation solutions of Einstein's equations for spherically symmetric static distribution of perfect fluid**M.P. Korkina, E.M. Kopteva**

The mass function method for obtaining the exact solutions**V.D. Gladush, A.I. Petrusenko**

Additional symmetry of the spherically symmetric configurations, the conservation laws and their application**A.V. Minkevich**

Gauge approach to gravitation, physical spacetime and gravitational interaction**I.V. Drobov, S.Ph. Tegai**

Formation of thin shell from Lemaitre - Tolman - Bndi dust**Yu.G. Ignat'ev**

Nonequilibrium Kinetics Universe Models. I. Local Thermodynamics Conditions**S.V. Siparov**

Equivalence theory and its first results