Перегляд за Автор "Chopovsky, Oleksii V."

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  • Ескіз
    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.
  • Ескіз
    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.
  • Ескіз
    Документ
    TWO-BODY PROBLEM IN KALUZA-KLEIN MODELS WITH RICCI-FLAT INTERNAL SPACES
    (Astroprint, 2013) Chopovsky, Oleksii V.
    We consider the dynamics of a two-body system in the model with additional spatial dimensions compactified on a Ricci-flat manifold. To define the gravitational field of a system and to construct its Lagrange function we use the weak-field approach. It is shown, that to avoid the contradiction with the experimental restrictions on the value of PPN-parameter γ, the massive sources must have nonzero pressure/tension into the extra dimensions and also must be uniformly smeared there. This fact leads directly to the absence of the Kaluza-Klein modes, which looks unnatural from the point of quantum mechanics.