Reissner Nordstrom

Black Holes · Part 2

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Table of Contents

  1. 1.The Charged Black Hole Solution
  2. 2.Reissner-Nordström Metric
  3. 3.Horizons and Singularity Structure
  4. 4.Surface Gravity and Hawking Temperature
  5. 5.Causal Structure and Penrose Diagrams
  6. 6.Cosmic Censorship Conjecture
  7. 7.Astrophysical Relevance
  8. 8.Summary
  9. 9.Navigation
  10. 10.⚡ Electromagnetic Field

Key Equations

$$ds^2 = -f(r)c^2dt^2 + f(r)^{-1}dr^2 + r^2d\Omega^2$$
$$\mathbf{E} = \frac{Q}{r^2}\hat{r}, \quad E^2 = \frac{Q^2}{r^4}$$
$$r_+ = r_- = \frac{GM}{c^2} = r_Q$$
$$T_H = \frac{\hbar\kappa}{2\pi k_Bc} = \frac{\hbar c^3}{8\pi GMk_B}\cdot\frac{\sqrt{M^2 - Q^2/G}}{M^2 + \sqrt{M^4 - M^2Q^2/G}}$$

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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