Relativity and Black Holes
Relativity and Black Holes
An Intuitive Introduction to the Physics of Spacetime
About the Book
In this booklet, I present a broad overview of special relativity and gravity, focusing on its greatest natural phenomenon - black holes’ effect on time and space. The goal is not to equip the reader with a proficient understanding of general relativity, but to expose them to the counter-intuitive thinking process uniquely attributed to physics. While the content is primarily tailored for readers who are unfamiliar with the subject, it may also offer fresh perspectives for those already invested in or professionally engaged with the field. To establish a general comprehension, mathematical tools are included and made as accessible as possible. All discussions are highly simplified, yet aim to introduce the right amount of intuition.
Table of Contents
- 1 Special Relativity
- 1.1 Basic Observables
- 1.2 Minkowski Metric
- 1.3 The Power of Symmetry - Lorentz Transformation
- 1.4 Spread of Information
- 1.5 Proper Measurements
- 1.6 Velocities Transformation
- 1.7 Closing Insights
- 1.8 Appendix - Relativistic Energy & Momentum
- 2 Gravity & Black Holes
- 2.1 Natural Units
- 2.2 Schwarzschild Metric
- 2.3 Spacetime Curvature & Black Holes
- 2.4 Event Horizon & Singularity
- 2.5 Light Trajectories - Gravitational Lensing & Einstein Rings
- 2.6 Information Paradox - Entropy & Hawking Radiation
- 2.7 Gravitational Waves
- 2.8 Summary
- 3 Mathematical Toolbox
- 3.1 Basic Operands, Conventions, Units
- 3.2 Pythagorean Theorem
- 3.3 Taylor Series Expansion
- 3.4 Integrals
- 3.5 Derivatives & Variations
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