Bekenstein Entropy
Black Holes · Part 3
183 KB9 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Bekenstein's Argument
- 2.The Bekenstein-Hawking Formula
- 3.Numerical Examples
- 4.The Bekenstein Bound
- 5.Microscopic Origin
- 6.The Generalized Second Law
- 7.Solar Mass Black Hole
- 8.Supermassive Black Hole (M87*)
- 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...