https://doi.org/10.1140/epjc/s10052-024-12825-3
Regular Article - Theoretical Physics
Image of Kerr–de Sitter black holes illuminated by equatorial thin accretion disks
1
Division of Mathematical and Theoretical Physics, Shanghai Normal University, 100 Guilin Road, 200234, Shanghai, People’s Republic of China
2
Department of Physics, East China Normal University, 200241, Shanghai, People’s Republic of China
Received:
18
December
2023
Accepted:
17
April
2024
Published online:
3
May
2024
To explore the influence of the cosmological constant on black hole images, we have developed a comprehensive analytical method for simulating images of Kerr–de Sitter black holes illuminated by equatorial thin accretion disks. Through the application of explicit equations, we simulate images of Kerr–de Sitter black holes illuminated by both prograde and retrograde accretion disks, examining the impact of the cosmological constant on their characteristic curves, relative sizes, and observed intensities. Our findings reveal that, in comparison to Kerr black holes, the cosmological constant not only diminishes the relative size of a black hole but also amplifies its luminosity. Moreover, an observer’s relative position in the universe (
) can influence both the relative size and luminosity of a black hole, where 
is the distance from the observer to the black hole, 
is the cosmological horizon determined by the value of the cosmological constant 
.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
