Department of Physics

10ΕΚ111 General Theory of Relativity (postgraduate)

Course Webpage:   https://eclass.uoa.gr/courses/PHYS262

Course Content

• Metric. Christoffel connection. Riemann curvature tensor. Einstein equations.
• Lagrange formulation (Einstein-Hilbert action).
• Transformation symmetries of geometrical objects. Killing vector fields.
• Spacetime symmetries and their application to Einstein equations. Spatially homogeneous space-times (Bianchi models).
• Black hole solutions. Gravitational waves.
• Primary-secondary constraints. First class constraints and gauge theories. Second class constraints and Dirac brackets. Proposals for canonical quantization.