Learning Outcomes:
Explain the equivalence principle.
Understand local inertial coordinates.
Perform calculations in tensor calculus in curved space-time.
Derive the Einstein field equations.
Understand the connection between geodesics and curvature.
Determine black hole solutions.
Understand the three classical test of General Relativity.
Expalin the Kruskal extension to the Schwarzschild solution and the structure of black holes.
Derive the linear approximation and its application to gravitational waves.
Derive the Robertson-Walker solution for an expanding universe.