Basics of General Theory of Relativity

1.0 Inertial mass and gravitational mass

1. Curvilinear Co-ordinates

2. Unit vectors in curvilinear systems

3. Arc Length

4. Volume element

5. Gradient, Divergence, Curl

6. Co-ordinate Transformation

7. Metric Tensor

8. Christoffel Symbol

9. Covariant Derivatives

10. Parallel Transport and Geodesic

11. Riemann Curvature and Ricci Tensor

12. Stress-Energy-Momentum Tensor

13. Field Equation

14. Schwarzschild Solution

15. Schwarzchild Solution (cntd..)

16. Transformation of Christoffel Symbol