Bekenstein Entropy

Black Holes · Part 3

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Table of Contents

  1. 1.Bekenstein's Argument
  2. 2.The Bekenstein-Hawking Formula
  3. 3.Numerical Examples
  4. 4.The Bekenstein Bound
  5. 5.Microscopic Origin
  6. 6.The Generalized Second Law
  7. 7.Solar Mass Black Hole
  8. 8.Supermassive Black Hole (M87*)
  9. 9.Holographic Principle

Key Equations

$$S_{total} = S_{matter} + S_{BH} \quad \text{must never decrease}$$
$$S_{BH} = \frac{k_B c^3 A}{4G\hbar} = \frac{k_B A}{4\ell_P^2}$$
$$S \leq \frac{2\pi k_B RE}{\hbar c}$$
$$S = k_B \ln \Omega$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Black Holes course on CoursesHub.World. Study the physics of black holes from Schwarzschild geometry to Hawking radiation. Covers rotating and charged black holes, thermodynamics, the information paradox, holographic principle, and astrophy...

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