https://doi.org/10.1140/epjc/s10052-023-11232-4
Regular Article - Theoretical Physics
The shadow of supertranslated black hole
1
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
2
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100049, Beijing, China
3
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, 310024, Hangzhou, China
b
hanyuxuan@itp.ac.cn
c
huangqg@itp.ac.cn
Received:
3
December
2022
Accepted:
15
January
2023
Published online:
30
January
2023
The supertranslated black hole proposed by Hawking, Perry, and Strominger might provide a resolution to the information paradox, which is usually defined by a complicated space-time metric. In this paper, we figure out the shadow for the supertranslated black hole by making use of supertranslated 4-velocities and the trajectories of the light rays. Based on this approach, although the photon sphere gets distorted and the position of the shadow on the projection plane is shifted by the supertranslation vector due to the supertranslation hairs, the size and shape of the shadow remain the same as those of bald black hole. However, the shift of the position of shadow should be understood by the choice of coordinate and then we conclude that there are no distinguishable effects for the supertranslated black hole.
© The Author(s) 2023
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