Reissner Nordstrom

Black Holes · Part 2

243 KB10 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

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...

← Penrose Process
Ads Cft →

Get Instant Access to 461+ PDF Study Guides

Professional LaTeX-typeset PDFs with complete derivations, worked examples, and beautiful equation rendering. Download any PDF, anytime. Cancel anytime.

$5
per month
All courses included
Save 17%
$50
per year
Best value
Subscribe Now
Secure payment via StripeCancel anytimeInstant access