https://doi.org/10.1140/epjc/s10052-024-13043-7
Regular Article - Theoretical Physics
Holographic Einstein rings of a black hole with a global monopole
1
State Key Laboratory of Mountain Bridge and Tunnel Engineering, Chongqing Jiaotong University, 400074, Chongqing, China
2
Department of Mechanics, Chongqing Jiaotong University, 400074, Chongqing, China
3
Center for Gravitational Wave Experiment, National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, 100190, Beijing, China
4
Lanzhou Center of Theoretical Physics, Lanzhou University, No. 222 South Tianshui Road, 730000, Lanzhou, China
Received:
11
September
2023
Accepted:
18
June
2024
Published online:
20
July
2024
The global monopole solutions which give rise to quite unusual physical phenomena have captured considerable attention. In this paper, we study the Einstein ring of the spherically symmetric AdS black hole solution with a global monopole based on the AdS/CFT correspondence. With the help of the given response function of the QFT on the boundary, we construct the holographic images of the black hole in the bulk. Our results exhibit the absolute amplitude of total response function 
increases with the decrease of the monopole parameter b and the temperature T. And the frequency 
of the Gaussian source will also increase the absolute amplitude. These parameters also affects the Einstein ring. With the change of the observation position, this ring will change from the concentric stripe to a luminosity-deformed ring, or light points. And the monopole parameter has an effect on the brightness and the position of Einstein ring. All these results imply that the holographic images can be used as an effective tool to distinguish different types of black holes for fixed wave source and optical system. These theoretical proposal opens a door to gravitational phenomena on strongly correlated material. Therefore, the holographic Einstein ring is of great theoretical and experimental significance for our research. In theory, it provides us a new way to find a necessary condition for the existence of the dual black hole. And experimentally speaking, if we can realize suitable targets for observing AdS black holes successfully, we would be able to observe Einstein rings by tabletop experiments when we apply localized sources on such materials and measure their responses.
© The Author(s) 2024
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