埃利斯-布朗尼科夫虫洞的阴影和弱引力透射

Mirzabek Alloqulov, Farruh Atamurotov, A. Abdujabbarov, B. Ahmedov, Vokhid Khamidov
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摘要

在这项工作中,我们研究了埃利斯-布朗尼科夫虫洞的引力弱透镜和虫洞阴影。首先,我们研究了等离子体介质和虫洞阴影中的光子运动。研究表明,在参数$a$的影响下,埃利斯-布朗尼科夫虫洞的光子球半径和虫洞阴影的尺寸会变大。我们得到了埃利斯-布朗尼科夫虫洞时空中参数 $a$ 的上限。其次,我们研究了埃利斯-布朗尼科夫虫洞的弱引力透镜,并计算了均匀和非均匀等离子体情况下的偏转角。结果表明,均匀等离子体的偏转角值随等离子体参数的增加而增加,反之亦然。同时还表明,在参数 $a$ 的影响下,两种情况下的偏转角值都会减小。最后,我们利用埃利斯-布朗尼科夫理论中虫洞周围光线的偏转角研究了图像亮度的放大。
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Shadow and weak gravitational lensing for Ellis-Bronnikov wormhole
In this work we have investigated the gravitational weak lensing and shadow of the Ellis-Bronnikov wormhole. First, we have studied the photon motion in plasma medium and wormhole shadow. It has been shown that the radius of the photon sphere of the Ellis-Bronnikov wormhole and the size of the wormhole shadow becomes larger under the influence of the parameter $a$. The upper limit of the parameter $a$ in the Ellis-Bronnikov wormhole spacetime has been obtained. Second, we have investigated the weak gravitational lensing for the Ellis-Bronnikov wormhole and have calculated the deflection angle for uniform and non uniform plasma cases. It has been shown that the value of the deflection angle for uniform plasma increased with the increase of the plasma parameter and for non uniform plasma vice versa. It has been also indicated that under influence of the parameter $a$ the values of the deflection angles for two cases are decreased. Finally, we have investigated the magnification of image brightness using the deflection angle of the light rays around the wormhole in Ellis-Bronnikov theory.
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