What is the Entropy Value of a 5 Solar Mass Black Hole?

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SUMMARY

The entropy value of a Schwarzschild black hole with a mass of five solar masses is approximately 1.811 × 1055 JK-1. This calculation utilizes the formula S = (2πkGM2)/(ħc), where G is the gravitational constant, k is the Boltzmann constant, ħ is the reduced Planck constant, and c is the speed of light. This high entropy value indicates the immense complexity and information content associated with black holes of this mass. Understanding these calculations is crucial for theoretical developments in astrophysics.

PREREQUISITES
  • Understanding of Schwarzschild black holes
  • Familiarity with thermodynamic entropy
  • Knowledge of fundamental constants: G, k, ħ, c
  • Basic grasp of general relativity principles
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Astronomers, physicists, and theoretical researchers interested in black hole thermodynamics and entropy calculations.

kurious
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Can someone tell me what the numerical value for the entropy of a black hole of five solar masses would be?
Is it a huge number?
 
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For a Schwarzschild black hole:

[tex]S = \frac{2\pi kGM^2}{\hbar c}[/tex]

whixh is approximately [itex]1.811 \times 10^{55}\\ JK^{-1}[/itex] For a 5 solar masses Schwarchild black hole
 
Last edited:
Thanks jcsd.
I want to see if I can come up with an equivalent calculation in theory development.
 

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