Holographic Einstein rings of non-commutative black holes

With the help of AdS/CFT correspondence, we derive the desired response function of QFT on the boundary of the non-commutative black hole. Using the virtual optical system with a convex lens, we obtain the Einstein rings of the black hole from the response function. All the results show that the hol...

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Bibliographic Details
Published in:The European Physical Journal C
Main Authors: Hu, XinYun, Zeng, XiaoXiong, 李丽仿, 徐鹏
Other Authors: Li, Li-Fang
Format: Report
Language:English
Published: 2024
Subjects:
TELESCOPE RESULTS. I
SHADOW
GRAVITY
Physics
Particles & Fields
二类/Q1
North Pole
Online Access:http://dspace.imech.ac.cn/handle/311007/94676
http://dspace.imech.ac.cn/handle/311007/94677
https://doi.org/10.1140/epjc/s10052-024-12522-1
Description
Summary:With the help of AdS/CFT correspondence, we derive the desired response function of QFT on the boundary of the non-commutative black hole. Using the virtual optical system with a convex lens, we obtain the Einstein rings of the black hole from the response function. All the results show that the holographic ring always appears with the concentric stripe when the observer located at the north pole. With the change of the observation position, the ring changes into a luminosity-deformed ring, or bright spot. We also investigate the effect of the non-commutative parameter on the ring and find the ring radius becomes larger as the parameter increases. The effect of the temperature on the ring radius is also investigated, it is found that the higher the temperature, the smaller the ring radius. In addition, we also obtain the ingoing angle of the photon via geometric optics, as expected, this angle is consistent well with the angle of the Einstein ring obtained via holography.

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