Жарияланымдар / Публикации

Постоянный URI для этого сообществаhttps://cris.qyzpu.edu.kz/handle/123456789/2

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2022 - 20252

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Язык: search.filters.language.АнглийскийТема: search.filters.subject.approximate solutions

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    Gravitational field of slightly deformed naked singularities
    (Springer Science+Business Media, 2022-04-01)
    Saken Toktarbay
    ;
    Hernando Quevedo
    ;
    Medeu Abishev
    ;
    Aray Muratkhan
    Abstract We derive a particular approximate solution of Einstein equations, describing the gravitational field of a mass distribution that slightly deviates from spherical symmetry. The deviation is described by means of a quadrupole parameter that is responsible for the appearance of a curvature singularity, which is not covered by a horizon. We investigate the motion of test particles in the gravitational field of this naked singularity and show that the quadrupole parameter affects the properties of Schwarzschild trajectories. By investigating radial geodesics, we find that no effects of repulsive gravity are present. We interpreted this result as indicating that repulsive gravity is non-linear effect.
    Цитирования (OpenAlex) 12Цитирования (OpenCitations) 9
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    Numerical implementation of solving a boundary value problem including both delay and parameter
    (Springer Science+Business Media, 2025-06-01)
    Zh. М. Каdirbayeva
    ;
    Narkesh B. Iskakova
    ;
    E. А. Bakirova
    Abstract In this paper, a new technique, namely the Dzhumabaev parameterization method, is presented and applied to linear boundary value problem with parameter for delay differential equation to find an efficient algorithm for their approximate solutions. Effectiveness of this algorithm is tested by examples of second-order delay differential equations and linear boundary value problem with parameter for delay differential equations. Obtained results reveal that proposed algorithm of the Dzhumabaev parameterization method is highly efficient and straightforward to execute.
    Цитирования (OpenAlex) 3Цитирования (OpenCitations) 2