I introduce the basic concepts and essential mathematics of GR and explore its implications for astrophysics and cosmology.
Course Outline:
1. Preliminaries: Newtonian Gravity, Geometry as Physics, and Special Relativity.
2. Curved Spacetimes
3. Spacetimes around Spherical Objects and Black Holes
4. Application to Cosmology
5. Gravity Waves
6. Einstein's Equation
Sources:
Text Book:
James Hartle, “Gravity: An introduction to Einstein's Theory of General Relativity"
Lectures Notes & YouTube Lectures:
Lecture notes by Prof. Sean Carroll is available here and a condensed version can be found here.
Lectures by Leonard Susskind are available here.
Grading:
Homework: 40%
Mid-term: 30%
Final: 30%