🌌 Lecture Notes on General Relativity

A Complete Guide to Einstein’s Theory of Gravity (Downloadable PDF)

Delve into the geometry of spacetime, black holes, and cosmology with this beautifully organized, self-contained set of lecture notes on General Relativity. Whether you’re a student, researcher, or independent learner, this PDF delivers the mathematical foundations and physical insights of Einstein’s revolutionary theory in a structured and digestible format.

📘 What’s Inside?

• Foundational Concepts
  • Review of special relativity
  • Manifolds, tensors, and differential geometry
  • Metric tensor and geodesics
• Core Theory
  • Einstein field equations derived step-by-step
  • Stress-energy tensor and conservation laws
  • Geodesic deviation and curvature
• Key Applications
  • Schwarzschild solution and black holes
  • Gravitational time dilation and redshift
  • Cosmological models (FRW metrics, expanding universe)
  • Gravitational waves (linearized theory)
• Advanced Topics
  • Kruskal coordinates and Penrose diagrams
  • Einstein–Hilbert action and variational principles
  • The ADM formalism and initial value problem (overview)

🔍 Features

• Clear Mathematical Derivations
  Step-by-step with intuitive explanations and clean notation.
• Illustrations & Spacetime Diagrams
  A visual companion to the math-heavy content.
• Problem Sets & Discussion Points
  Engage deeper with end-of-section exercises and reflective questions.
• Glossary of Symbols & Definitions
  For quick reference and revision.

📥 Download Info

• Format: High-Quality PDF
• Pages: ~100+ pages (well-structured layout)
• Instant Digital Download
• Printable and optimized for tablets, phones, and desktops

👨‍🏫 Ideal For:

• Physics undergraduates & graduate students
• Self-learners exploring general relativity independently
• Instructors seeking high-quality course materials
• Anyone fascinated by spacetime, black holes, and cosmology