General Relativity - Part 6 Topics covered: Particle Mechanics in the Presence of Gravity. Fermi-Walker Transport. Electrodynamics in Covariant Form. Conserved Energy-Momentum Tensor. Hydrodynamic Equations for a Perfect Fluid. Riemann Curvature Tensor. Parallel Transport Around an Infinitesimal Closed Loop. Gravitation versus Curvilinear Coordinates. Algebraic Properties of the Riemann Tensor. Differential (Bianchi) Identities.
"Einstein's General Relativity and Gravitation" is a graduate-level course taught at UC Irvine as Physics 255. This course covers diverse topics in general relativity, including an introduction to Einstein’s theory of gravitation, tensor analysis, Einstein’s field equations, astronomical tests of Einstein’s theory, and gravitational waves.