Addenda to Classical Physics: Relativity and Gauge Theory

Contents

Relativity:

Minkowski space, Lorentz group, representations of the Lorentz group, relativistic particles, coupling of the electromagnetic field, Liénard-Wichert potentials, Schwarzschild metric, tests of general relativity in the solar system, Thirring-Lense effect, light deflection, Einstein-Hilbert action, covariant conservation of energy and momentum, gravitational waves: generation and detection, cosmology

Gauge Theories:

Translation, covariant derivative, field strength, holonomy group, Bianchi identities, principle of action, Noether identities, algebraic Poincaré lemma, standard model of fundamental interactions, monopoles, spontaneous symmetry breaking, BRS symmetry, anomalies