Recent Contributions to Physics

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Application of GBT theorem for Gravitational deflection of light by Compact Objects
(Al-Farabi Kazakh National University, 2023-03-13)
Nurzada Beissen
;
Daniya Utepova
;
Aray Muratkhan
;
Ayazhan Orazymbet
;
Manas Khassanov
One of the most renowned classical experiments that verifies the curved nature of space-time geometry is the bending of light. This phenomenon is extensively discussed in most textbooks on general relativity, with a clear and comprehensive explanation provided. In this study, we employ the material medium approach to determine the refractive index associated with the gravitational field of a compact object with a quadrupole moment. Our research presents a method for calculating the gravitational deflection angle for compact objects by utilizing the refractive index and the GBT theorem for an isotropic metric. This method is particularly important because it allows for the calculation of the deflection angle for both light and relativistic particles. The material medium approach enables us to consider the compact object's gravitational field as a medium with a refractive index. By applying this approach, we establish a relationship between the refractive index and the quadrupole moment of the compact object. We then utilize this relationship to calculate the deflection angle of light and relativistic particles.
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The Influence of Deformation in Compact Objects on Redshift and Radar Echo Delay
(Al-Farabi Kazakh National University, 2024-03-19)
Nurzada Beissen
;
D.S. Utepova
;
V.N. Kossov
;
S. Toktarbay
;
M.K. Khassanov
The analogy between optics and mechanics provides a unified way to describe particle motion in mechanics and light propagation in geometrical optics, and recent publications have demonstrated that this analogy can also be applied to general relativity, specifically when dealing with static metrics. In this paper, we use the material medium approach to obtain the refractive index associated with the gravitational field of a compact object having a quadrupole moment. Within this approach, we explore well-known effects of general relativity such as redshift and radar echo delay, deriving mathematical expressions for these phenomena taking into account the influence of the quadrupole moment.
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Recent Contributions to Physics

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