挠率黑洞的全息爱因斯坦环  

Holographic Einstein ring of a black hole with torsion

作　　者：桂金玉 曾晓雄 叶欢 韩亦文 GUI JinYu;ZENG XiaoXiong;YE Huan;HAN YiWen(Department of Mechanics,Chongqing Jiaotong University,Chongqing 400074,China;School of Material Science and Engineering,Chongqing Jiaotong University,Chongqing 400074,China;School of Artificial Intelligence,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]重庆交通大学材料科学与工程学院,重庆400074 [3]重庆工商大学人工智能学院,重庆400067

出　　处：《中国科学：物理学、力学、天文学》2024年第11期96-104,共9页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:12375043);重庆市自然科学基金创新发展联合基金(编号:CSTB2022NSCQ-LZX0021,CSTB2023NSCQ-MSX0594)资助项目。

摘　　要：本文基于全息对偶,研究了具有挠率参数黑洞的爱因斯坦环.在AdS边界处考虑一个含时的高斯波源并研究了其响应函数.进一步,基于一个带凸透镜的光学系统,得到了屏上的爱因斯坦环.研究发现,随着观测者位置角度的变化,球对称的光子环将变成弧线或者光斑.当挠率参数增大,环半径变大;当视界半径增大,环半径减小;当角频率增大,环半径更清晰.此外,基于几何光学研究了光子的入射角,并发现这一角度与波动光学得到的光子环的入射角完全一致.这一结论证实了基于波动光学研究爱因斯坦环的有效性.We delve into holographic duality and investigate the Einstein rings associated with a black hole that possesses torsion.This paper is centered around a time-dependent Gaussian wave source located at the AdS boundary,which is used to investigate the response function.Furthermore,we utilize an optical system equipped with a convex lens to observe the Einstein ring on the screen.Notably,the position angle of the observer directly affects the appearance of the spherical symmetric photon ring.Depending on the observer’s position,the photon ring can morph into an arc or a simple light spot.Additionally,as the torsion parameter increases,the ring radius also increases.Conversely,when the horizon radius increases,the ring radius decreases.Moreover,as the angular frequency increases,the ring radius becomes clearer.In addition,we examined the incident angle of the photon based on geometric optics;reportedly,this angle perfectly aligns with the incident angle of the photon ring obtained by wave optics and confirms the validity of studying Einstein rings using wave optics.

关 键 词：挠率黑洞 波动光学 全息爱因斯坦环 响应函数 

分 类 号：P145.8[天文地球—天体物理]