Laws Of Mechanics

Black Holes · Part 3

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Table of Contents

  1. 1.1. The Zeroth Law
  2. 2.2. The First Law
  3. 3.3. The Second Law (Hawking's Area Theorem)
  4. 4.4. The Third Law
  5. 5.Summary: The Laws and Their Thermodynamic Analogs
  6. 6.Historical Context
  7. 7.Statement
  8. 8.For Specific Black Holes
  9. 9.Thermodynamic Analogy
  10. 10.Statement

Key Equations

$$\kappa^2 = -\frac{1}{2}(\nabla_\mu \chi_\nu)(\nabla^\mu \chi^\nu)\bigg|_{r=r_+}$$
$$dM = \frac{\kappa c^2}{8\pi G}dA + \Omega_H dJ + \Phi_H dQ$$
$$dE = TdS - PdV + \mu dN$$
$$dM = \frac{\kappa c^2}{8\pi G}dA = \frac{c^4}{32\pi GM^2}dA$$

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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