Перегляд за Автор "Eingorn, Maxim V."
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Документ Cosmological perturbations in presence of scalar fields(Astroprint, 2014) Burgazli, A. Yu.; Eingorn, Maxim V.; Zhuk, Oleksandr I.We investigate the role of the scalar field assuming its presence at late stages of the Universe evolution together with dust presented by a system of an arbitrary number of gravitating masses (galaxies, groups of galaxies and clusters of galaxies) and the cosmological constant in the framework of the theory of scalar cosmological perturbations. In particular, we discuss the case of the homogeneous scalar field and its possible influence on the gravitational potentials representing metric perturbations. We also focus attention on the interconnection between the astrophysical problem and the cosmological one in the scalar field presence.Документ DARK SIDE OF QUARK BAG MODEL(Astroprint, 2013) Brilenkov, Maxim; Eingorn, Maxim V.; Jenkovszky, Laszlo; Zhuk, Oleksandr I.We calculate the present expansion of our Universe endowed with relict colored objects – quarks and gluons – that survived hadronization either as isolated islands of quark-gluon nuggets or spread uniformly in the Universe. The QNs can play the role of dark matter.Документ Different approaches for dark matter halos of clusters of galaxies(Astroprint, 2014) Brilenkov, R. D.; Eingorn, Maxim V.; Zhuk, Oleksandr I.To describe the density profile of dark matter halos of clusters of galaxies, we compare the approach based on the Schwarzschild-de Sitter metric with a recently developed mechanical one (discrete cosmology inside the cell of uniformity). In the first approach, the cosmological effects are completely incorporated into the cosmological constant, while in the second one the scale factor enters directly the corresponding equations. Hence, in the latter case we can take into account the effect on the density profiles not only the cosmological constant, but also other material components. Thus, we can evaluate how this dynamic impact is considerable and testable.Документ DYNAMICS OF COSMIC BODIES IN THE OPEN UNIVERSE(Astroprint, 2012) Kudinova, A. V.; Eingorn, Maxim V.; Zhuk, Oleksandr I.ABSTRACT. As it has been recently demonstrated,the mathematical model with the hyperbolic space(or, in other words, with the negative spatial curvature)is the most appropriate one for describing the inhomogeneous Universe at late stages of its evolution in the framework of the theory of scalar perturbations. In this model we develop a dynamic approach and investigate nonrelativistic motion of two, three and even more cosmic bodies against the cosmological background, perturbed locally by density inhomogeneities (namely, galaxies).Документ FINE TUNING PROBLEM IN FIVE-DIMENSIONAL BRANE WORLD MODELS(Astroprint, 2012) Fakhr, S. H.; Eingorn, Maxim V.; Zhuk, Oleksandr I.ABSTRACT. Fine tuning can be called a main disadvantage of the Randall-Sundrum model, representing the most popular brane world model, constructed quite artificially in the five-dimensional space-time. It needs a bare multidimensional cosmological constant, which is related strictly to four-dimensional tension (the brane physical property).Документ MULTIDIMENSIONAL GIBBS DISTRIBUTION AND AN IDEAL GAS OF NON-RELATIVISTIC PARTICLES(Astroprint, 2011) Kusevich, A. E.; Eingorn, Maxim V.; Zhuk, Oleksandr I.We generalize the standard methods of quantum statistical physics and thermodynamics to the multidimensional case and apply them in order to derive different thermodynamic quantities, characterizing an ideal gas of non-relativistic particles. In particular, we obtain the formula for the pressure in the internal space.Документ MULTIDIMENSIONAL SOLITONS WITH SPHERICAL COMPACTIFICATION(Astroprint, 2012) Chopovsky, Oleksii V.; Eingorn, Maxim V.; Zhuk, Oleksandr I.ABSTRACT. Multidimensional static spherically symmetric (with respect to the external 3-dimensional space) vacuum solutions of the Einstein equation were well-known and prevalent in literature for a long time. These solutions are called solitons. Among them, there is a class of particular solutions, called latent solitons, which are indistinguishable from General Relativity concerning the gravitational tests. Black strings and black branes belong to this class. We construct an exact soliton solution, when the internal space represents a sphere of some finite radius.Документ QUINTESSENCE AND PHANTOM ENERGY INHOMOGENEITIES AT LATE STAGES OF UNIVERSE EVOLUTION(Astroprint, 2012) Burgazli, A. Yu.; Eingorn, Maxim V.; Zhuk, Oleksandr I.ABSTRACT. As it directly follows from the scalar perturbations, applied to the late stages of evolution of the Universe, filled with dark energy, nonrelativistic matter and, possibly, quintessence or phantom energy, the last two components can not be homogeneous. We demonstrate that ω=-1/3 is only admissible negative parameter in the non-vacuum equation of state, determine the corresponding gravitational potentials and discuss their main properties.Документ RELATIVISTIC EFFECTS IN A SYSTEM OF GRAVITATIONALLY INTERACTING NON-DUST-LIKE PARTICLES(Astroprint, 2012) Shevchenko, J. A.; Eingorn, Maxim V.; Zhuk, Oleksandr I.ABSTRACT. The two-body problem in the Kaluza– Klein model with toroidal topology of additional spatial dimensions is investigated. The characteristic property of the considering gravitational field sources is the existence of tension into the compact subspace, which is necessary to achieve the agreement with experimental restrictions on the PPN-parameter. It is shown that the two-body problem does not possess the essential symmetry and is inconsistent in the abovementioned model.Документ SCHWARZSCHILD-DE SITTER AND MECHANICAL APPROACHES COMPARISON WITH RESPECT TO DARK MATTER HALOS(Astroprint, 2013) Brilenkov, R. D.; Eingorn, Maxim V.; Zhuk, Oleksandr I.We compare the Schwarzschild-de Sitter approach to deriving mass and potential distributions and corresponding parameters associated with dark matter halos for clusters of galaxies with the mechanical one, taking into account cosmological effects, in particular, dark energy influence.Документ SIGNIFICANCE OF TENSION FOR KALUZA-KLEIN MODELS: CRITICAL REMARKS(Astroprint, 2012) Eingorn, Maxim V.ABSTRACT. In this very brief review the crucial problematic aspects of gravitational interaction in the weak field limit of Kaluza-Klein models are clarified. We explain why some models meet the classical gravitational tests, while the others do not. In the case of toroidal compactification of extra spatial dimensions we show how the presence of tension (both with and without effects of nonlinearity with respect to the scalar curvature R ) of a single gravitating source results in agreement with the observations. It takes place for so-called latent solitons, in particular, black strings and black branes.Документ The form of the gravitational potential in flat, open and closed Universes(2019) Eingorn, Maxim V.; Yükselci, A. E.; Zhuk, Oleksandr I.; Жук, Олександр Іванович; Жук, Александр ИвановичWithin the cosmic screening approach, we obtain the exact formulas for the velocity-independent gravitational potentials produced by matter in the form of discrete sources distributed in the flat, open and closed Universes.Документ THE NEGATIVE RESULT OF GRAVITATIONAL TESTS FOR KALUZA-KLEIN MODELS WITH SPHERICAL COMPACTIFICATION OF ADDITIONAL DIMENSIONS(Astroprint, 2011) Chopovsky, Oleksii V.; Eingorn, Maxim V.; Zhuk, Oleksandr I.We investigated classical gravitational tests for the Kaluza-Klein model with spherical compactification of additional dimensions in the case of absence of a six-dimensional bare cosmological constant. We perturbed a background by a compact massive source with the dust-like equation of state in all spatial dimensions and obtained the solution of Einstein equations in the weakfield limit. It enabled to calculate PPN parameter γ, and we obtained a strong contradiction to observations.Документ THE NON-RELATIVISTIC LIMIT OF THE RANDALL-SUNDRUM BRANE WORLD MODEL: SOLUTIONS AND APPLICATIONS(Astroprint, 2011) Kudinova, A. V.; Eingorn, Maxim V.; Zhuk, Oleksandr I.The non-relativistic limit of the Randall- Sundrum model with a single brane is investigated. Both exact and approximate expressions for the potential of a delta-shaped material source are used, some geometric configurations of the sources are considered. Formulae for the potential energy and the force of the gravitational interaction are derived, including the most important case of two balls. The constraints on the model’s parameter are obtained.