The effect of scalar hair on the charged black hole with the images from accretions disk

Tao-Tao Sui (College of Physics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China) ; Zi-Liang Wang (Department of Physics, School of Science, Jiangsu University of Science and Technology, Zhenjiang, 212003, China) ; Wen-Di Guo (Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, Lanzhou, 730000, China)

In this paper, we investigate the optical properties of a charged black hole with scalar hair (CSH) within the context of four-dimensional Einstein–Maxwell–Dilaton gravity. To achieve this, we consider three distinct toy models of thin accretion disks. The presence of dilaton coupling allows us to express both the solutions of CSH and the Reissner–Nordström (RN) black hole in terms of their mass (M) and charge (Q). Our findings reveal differences in the effective potentials $$V_{eff}$$ V eff , photon sphere radii $$r_{ph}$$ r ph , and innermost stable circular orbit $$r_{isco}$$ r isco between the CSH and RN black hole cases, which become increasingly pronounced as the charge parameter Q increases. However, no noticeable distinctions are observed concerning the critical impact parameter $$b_{ph}$$ b ph . When the ratio of the photon ring band and the lensed ring band exceeds 0.1, it may suggest the presence of a charged black hole with scalar hair. Furthermore, our results underscore the significant influence of the charge parameter Q on the brightness distributions of the direct, lensed ring, and photon ring for three standard emission functions. These findings emphasize the potential for distinguishing between CSH and RN black holes through an analysis of direct intensity and peak brightness in specific accretion disk models.

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      "source": "Springer", 
      "value": "In this paper, we investigate the optical properties of a charged black hole with scalar hair (CSH) within the context of four-dimensional Einstein\u2013Maxwell\u2013Dilaton gravity. To achieve this, we consider three distinct toy models of thin accretion disks. The presence of dilaton coupling allows us to express both the solutions of CSH and the Reissner\u2013Nordstr\u00f6m (RN) black hole in terms of their mass (M) and charge (Q). Our findings reveal differences in the effective potentials  $$V_{eff}$$  <math> <msub> <mi>V</mi> <mrow> <mi>eff</mi> </mrow> </msub> </math>  , photon sphere radii  $$r_{ph}$$  <math> <msub> <mi>r</mi> <mrow> <mi>ph</mi> </mrow> </msub> </math>  , and innermost stable circular orbit  $$r_{isco}$$  <math> <msub> <mi>r</mi> <mrow> <mi>isco</mi> </mrow> </msub> </math>   between the CSH and RN black hole cases, which become increasingly pronounced as the charge parameter Q increases. However, no noticeable distinctions are observed concerning the critical impact parameter  $$b_{ph}$$  <math> <msub> <mi>b</mi> <mrow> <mi>ph</mi> </mrow> </msub> </math>  . When the ratio of the photon ring band and the lensed ring band exceeds 0.1, it may suggest the presence of a charged black hole with scalar hair. Furthermore, our results underscore the significant influence of the charge parameter Q on the brightness distributions of the direct, lensed ring, and photon ring for three standard emission functions. These findings emphasize the potential for distinguishing between CSH and RN black holes through an analysis of direct intensity and peak brightness in specific accretion disk models."
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Published on:
29 April 2024
Publisher:
Springer
Published in:
European Physical Journal C , Volume 84 (2024)
Issue 4
Pages 1-12
DOI:
https://doi.org/10.1140/epjc/s10052-024-12807-5
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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