Bending of Light by Magnetars within Generalized Born-Infeld Electrodynamics: Insights from the Gauss-Bonnet Theorem

被引：5

作者：

Beissen, Nurzada ^{[1
]}

Yernazarov, Tursynbek ^{[1
]}

Khassanov, Manas ^{[1
]}

Toktarbay, Saken ^{[1
,2
]}

Taukenova, Aliya ^{[1
]}

Talkhat, Amankhan ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Inst Expt & Theoret Phys, Alma Ata 050040, Kazakhstan

[2] Kazakh Natl Womens Teacher Training Univ, Dept Phys, Alma Ata 050000, Kazakhstan

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 01期

关键词：

Born-Infeld electrodynamics; refractive indices; magnetar; Gauss-Bonnet theorem; FIELD; FOUNDATIONS;

D O I：

10.3390/sym16010132

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：9

共 58 条

[1]

Rasheed DA, 2003, Arxiv, DOI arXiv:hep-th/9702087

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