PSI 2016/2017 - Relativity (Turok)

Maxwell equations and electromagnetic wave solutions.

Four-dimensional space time, Maxwell equations again, Lorentz transformations.

Action principle for electromagnetism and point particle, Noether theorem

Energy and momentum of a relativitic particle, particle couples to electromagnetism

Poincare group, locally flat coordinate

Connections and geodesics

Riemann tensor and its relatives

Einstein field equations.

Gauge theory. Vacuum solutions to Einstein field equations.

Two modes of the gravitational waves. Gravitational waves emitted from a source.

Energy-momentum of the gravitational wave radiation.

The Schwarzschild metric