Hawking Radiation
Black Holes · Part 3
184 KB5 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Hawking Temperature
- 2.Physical Mechanism
- 3.Black Hole Evaporation
- 4.Spectrum and Greybody Factors
- 5.Evaporation Times
Key Equations
$$T_H = \frac{\hbar c^3}{8\pi G k_B M} = \frac{\hbar \kappa}{2\pi k_B c}$$
$$L = \frac{\hbar c^6}{15360 \pi G^2 M^2}$$
$$t_{evap} = \frac{5120 \pi G^2 M^3}{\hbar c^4} \propto M^3$$
$$\frac{dN}{dt d\omega} = \frac{\Gamma_s(\omega)}{2\pi} \frac{1}{e^{\omega/T_H} - 1}$$
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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