Black Hole shadow temperature profile

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  • Thread starter Thread starter djymndl07
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SUMMARY

The forum discussion centers on recreating figures from the article "Shadow Thermodynamics," specifically figures 5 and 6, using Mathematica. The user successfully generated figure 5 but encountered difficulties with figure 6, particularly in implementing the color function and scaling based on the temperature profile described in equation 19. The equations referenced (16, 18, 24, and 25) relate to the radius of the black hole shadow, denoted as ##r_s##, and the user seeks assistance in accurately depicting these figures.

PREREQUISITES
  • Understanding of black hole thermodynamics concepts
  • Familiarity with Mathematica for graphical representation
  • Knowledge of mathematical equations related to black hole shadows
  • Experience with color functions and scaling in data visualization
NEXT STEPS
  • Research the implementation of color functions in Mathematica for temperature mapping
  • Study the equations provided in "Shadow Thermodynamics" for accurate figure recreation
  • Explore advanced Mathematica techniques for scaling graphical outputs
  • Examine existing literature on black hole shadow imaging for additional insights
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Researchers in astrophysics, physicists studying black hole thermodynamics, and data visualization specialists using Mathematica for scientific graphics.

djymndl07
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I am not sure if it is right to ask this question or not. Kindly let me know if it isn't. Actually I was going through the article Shadow Thermodynamics. I was trying to recreate the image fig 5 and 6 in mathematica. The idea is that we have to draw circles of radius ##r_s## given by equations 16,18,24,25 over a certain range of ##r_h## and the bar legend showing corresponding temperature in equation 19. I can create fig 5, though not exactly matches with the article but I cannot make fig 6. Can anyone help me with this? At least tell me the color function and scaling idea used in this paper.
Thank You in advance
 

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