Symmetry

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Bending of Light by Magnetars within Generalized Born–Infeld Electrodynamics: Insights from the Gauss–Bonnet Theorem
(Multidisciplinary Digital Publishing Institute, 2024-01-22)
Nurzada Beissen
;
Tursynbek Yernazarov
;
Manas Khassanov
;
Saken Toktarbay
;
A.S. Taukenova
We 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
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Gravitational Refraction of Compact Objects with Quadrupoles
(Multidisciplinary Digital Publishing Institute, 2023-02-28)
Nurzada Beissen
;
Daniya Utepova
;
Medeu Abishev
;
Hernando Quevedo
;
Manas Khassanov
We use the material medium approach to derive the refractive index that can be associated with the gravitational field of a compact object with a quadrupole moment. We consider both a static deformation and a stationary rotation of the gravitational source as the source of the quadrupole. We show that up to the first order in the quadrupole, the refractive indices of both configurations are equivalent such that from the point of view of refraction, a mimicking effect can occur. This also holds at the level of the deflection angle. We argue that it is possible to use the refractive indices and the parameters of the trajectories of light rays that propagate in a gravitational field to determine the physical parameters of the source.
Цитирования (OpenAlex) 10Цитирования (OpenCitations) 5

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