PSI 2018/2019 - Relativity (Kubizniak)

Special Relativity: Spacetime and causal structure, Lorentz transformations, Relativistic particle

Nambu-Goto and Polyakov actions, Einstein's path to GR, Einstein's elevator, Gravitational redshift

Freely falling frame, Geodesic equation, Curved metric, Rindler space, Newtonian limit

Gravitational redshift again, Field theory for gravity, Manifolds

Tensors, Tensor algebra, Differentiating tensors, Connection

Covariant derivative, Metric, Equivalence principle, Invariant volume element, Parallel transport

Killing vectors, Curvature, Riemann family, Bianchi identity & Einstein tensor

Particles and matter in curved spacetime, Geodesic deviation equation, Energy momentum tensor

Energy-momentum conservation, Born-Infeld theory, Einstein-Hilbert action, Lovelock theorem

Einstein equations, Bianchi identity, Conservation laws, Energy conditions, Linearized gravity

Gravitational waves: gauge fixing, 2 polarizations, quadrupole formula

Gravitational waves: guest speaker Luis Lehner, Landau's pseudotensor, Energy loss due to GWs