Қазақ ұлттық қыздар педагогикалық университеті / Казахский национальный женский педагогический университет
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Тип записи:Публикация, Gravitational Refraction of Compact Objects with Quadrupoles(Multidisciplinary Digital Publishing Institute, 2023-02-28)Цитирования (OpenAlex) 10Цитирования (OpenCitations) 5 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Application of GBT theorem for Gravitational deflection of light by Compact Objects(Al-Farabi Kazakh National University, 2023-03-13)Цитирования (OpenAlex) 6Цитирования (OpenCitations) 3 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Stability Properties of Geometrothermodynamic Cosmological Models(Multidisciplinary Digital Publishing Institute, 2023-09-28); Цитирования (OpenAlex) 1Цитирования (OpenCitations) 1 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Nonlinear electrodynamical lensing of electromagnetic waves on the dipole magnetic field of the magnetar(World Scientific, 2023-12-01); ; Y. AimuratovWe study numerically a combined gravitational and nonlinear magnetic lensing effect on electromagnetic flux. A magnetar with a dipole magnetic field and background gravitational field is considered to deflect the light rays which passed through its magnetosphere. We assume a square wave front with sides [Formula: see text][Formula: see text]m as a grid with the [Formula: see text][Formula: see text]m dynamic step. At the nodes of this grid, the rays enter perpendicularly into the cubic area, which covers the main magnetic lensing region with a magnetar at the center. On the basis of general relativity (GR) and nonlinear vacuum electrodynamics, the distribution of rays by the deflection angle in the combined field of the magnetar was obtained. On the basis of the analysis of the obtained data, it is possible to assert that the magnetic field distorts the result of gravitational lensing. Therefore, the magnetar is regarded as a gravitational-magnetic lensing object, wherein the magnetic field induces axial distortion within [Formula: see text]. These results are expected to be detectable by modern instruments.Цитирования (OpenAlex) 5Цитирования (OpenCitations) 3 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Bending of Light by Magnetars within Generalized Born–Infeld Electrodynamics: Insights from the Gauss–Bonnet Theorem(Multidisciplinary Digital Publishing Institute, 2024-01-22); ; ; A.S. TaukenovaWe compute the weak bending angle of light within generalised Born–Infeld electrodynamics as it passes through the equatorial plane of a magnetic dipole. We start by considering the refractive index associated with the dipole within generalised Born–Infeld electrodynamics. Then, we calculate the Gaussian optical curvature based on these refractive indices. Using the Gauss–Bonnet theorem, we derive a formula to quantify the deflection angle in the presence of a strong magnetic field from a dipole. Our results align with results obtained through traditional geometric optics techniques, underscoring the importance of the Gauss–Bonnet theorem as a versatile tool for solving intricate problems in modern theoretical research. We apply our theoretical deflection angle formula to estimate the light bending in magnetars listed in the McGill catalogue, providing insights into the behaviour of light in environments with strong magnetic fields.Цитирования (OpenAlex) 5Цитирования (OpenCitations) 4 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, ВНУТРЕННЯЯ СТРУКТУРА И ОБЩЕРЕЛЯТИВИСТСКИЕ РАСЧЕТЫ КОМПАКТНЫХ ОБЪЕКТОВ(2024-05-26); ; tInthis study, we examine dense compact objects, such as white dwarfs and neutron stars, through the lens of Einstein's theory of gravity. Our focus is on understanding these objects when they are not perfectly spherical, using a mathematical description fortheir gravitational fields. We consider the quadrupole moment as an additional parameter that explicitly enters the equilibrium equations and the geometry of spacetime. In fact, most studies of equilibrium conditions in relativistic astrophysics are limited to the case of spherically symmetric sources. We construct approximate interior and exterior line elements, considering the quadrupole moment up to the first order, to describe static deformed compact objects. We pay particular attention to the interiors of slightly deformed compact objects, applying a specific formula known as the equation of state (EoS). This critical component enables us to understand how these stars balance the force of their own gravity with internal pressure. The EoS is pivotal in determining how matter behaves under the extreme conditions of density and pressure found within these compact objects. В исследовании мы рассматриваем плотные компактные объекты, такие как белые карлики и нейтронные звезды, через призму теории гравитации Эйнштейна. Наша цель –понять эти объекты, когда они не являются идеально сферическими, используя математическое описание их гравитационных полей. Мы учитываем квадрупольный момент как дополнительный параметр, который явно входит в уравнения равновесия и геометрию пространства-времени. Фактически, большинство исследований условий равновесия в релятивистской астрофизике ограничивается случаем сферически симметричных источников. Мы строим приблизительные внутренние и внешние элементы линии, учитывая квадрупольный момент до первого порядка, чтобы описать статически деформированные компактные объекты. Мы уделяем особоевнимание внутренностям слегка деформированных компактных объектов, применяя определенную формулу, известную как уравнение состояния (EoS). Этот критический компонент позволяет нам понять, как эти звезды уравновешивают силу собственной гравитации с внутренним давлением. EoS имеет решающее значение для определения поведения материи в экстремальных условиях плотности и давления, которые встречаются в этих компактных объектах. Бұл жұмыста, Эйнштейннің гравитация теориясы негізінде ақ ергежейлі және нейтрондық жұлдыздар сияқты тығыз жинақы нысандарды қарастырамыз. Біздің мақсатымыз -бұл объектілердіңгравитациялық өрістерінің математикалық сипаттамасын пайдалана отырып, олар сфералық симметриялы болмаған жағдайда олардың физикасын түсіну. Тепе-теңдік теңдеулері мен кеңістік-уақыт геометриясына нақты енгізілген қосымша параметр ретінде квадрупольдік моментті ескереміз. Шын мәнінде, релятивистік астрофизикадағы тепе-теңдік жағдайларын зерттеудің көпшілігі сфералық симметриялы көздермен шектеледі. Статикалық деформацияланған ықшам нысандарды сипаттау үшін бірінші ретке дейінгі квадрупольдік моментті ескере отырып, жуықталған ішкі және сыртқы сызық элементтерін пайдаланамыз. Күй теңдеуілері үшін (КТ) арнайы формуланы қолдану арқылы мардымсыз деформацияланған ықшам нысандардың ішкі құрылымына назар аударамыз. Бұл маңызды компонент жұлдыздардың өздерінің гравитациялық тартылыс күшін ішкі қысыммен қалай теңестіретінін түсінуге мүмкіндік береді. КТ осы ықшам нысандарда кездесетін тығыздық пен қысымныңтөтенше жағдайларындағы материяның әрекетін анықтау үшін өте маңызды. - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Comparing the efficiency of GPU and CPU in gravitational lensing simulation(Al-Farabi Kazakh National University, 2024-06-20); In this study, we investigate the computational advancements in simulating gravitational lensing, particularly focusing on the Schwarzschild black hole model. The traditional approach of back ray tracing, where photons are traced back from the observer to the source, is computationally intensive, especially when aiming to achieve high-resolution images of lensing effects around black holes. By employing a numerical method that integrates the Schwarzschild metric with initial conditions derived from the observer's plane, we map the deflection of light around a black hole to generate simulated images of gravitational lensing.The core of our study is the comparison between traditional CPU-based computations and GPU-accelerated processes using the Numba library. Our findings reveal that GPU acceleration, with its parallel processing capabilities, significantly reduces computation time, particularly as the complexity of the simulation increases with larger grid sizes. This computational efficiency is crucial for simulations of gravitational lensing, where the number of independent calculations grows exponentially with the resolution and accuracy of the desired image.Our research underscores the importance of leveraging GPU technology for astrophysical simulations, offering a substantial improvement in performance over CPU-based methods. Keywords: Gravitational Lensing, GPU Parallelization, Schwarzschild Black Hole, Ray Tracing Methods, Numba Library. - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, An overview of light ray deflection calculation by magnetars in nonlinear electrodynamics(2024-06-24); ; Due to the lack of experimental confirmation of the effects of nonlinear electrodynamics (NED) of vacuum on the electromagnetic wave, it remains the most pressing issue. One of the most optimal media for studying these effects, occurring in astrophysics, are magnetars. Various methods of studying the bending of a wave passing through the magnetospheres of magnetars play a key role in a deeper understanding of vacuum NED. This article reviews modern methods for determining the angle of bending of the electromagnetic wave under the effect of NED of vacuum and gravity, with special attention paid to NED of vacuum in intense electromagnetic fields, which is a characteristic feature of magnetars. The article discusses various methods and techniques used to measure these angles, as well as their potential astrophysical applications.Цитирования (OpenAlex) 2 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Optical Medium Approach: Simplifying General Relativity and Nonlinear Electrodynamics for Educational Purposes(Multidisciplinary Digital Publishing Institute, 2024-12-05); ;