Gravitation and Cosmology I

Course content

Spacetime manifold. Causal structure. Lorentzian metric. Tensors on manifolds. Orthonormal frame bundles. Connection and curvature. Einstein equations. Variational methods. Noether's theorem. Conservation laws. Schwarzchild geometry. Kruskal extension. Interior solutions. Formation of black holes. Black hole temperature and entropy. Charged rotating black holes. Gravitational waves.