Black Holes
Learning Objectives
- Students will be able to explain the concept of event horizon
- Students will be able to calculate the Schwarzschild radius
- Students will be able to describe black hole formation and properties
Core Concepts
- Event horizon
- Schwarzschild radius
- Singularity
- Hawking radiation
Formulas
$$R_s = \frac{2GM}{c^2}$$
Schwarzschild radius defining the event horizon
$$M = \frac{v^2 r}{G}$$
Black hole mass from orbital dynamics
Units
| Kilometer | km |
Interesting Fact
Hawking radiation allows black holes to eventually evaporate, though this takes an extremely long time
Key Scientist
Karl Schwarzschild
Derived the Schwarzschild solution for black hole geometry
Philosophy
Black holes represent ultimate limits of physics where spacetime curvature becomes extreme, raising questions about the nature of quantum gravity.
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