Solutions to the Field Equations - Part 3 Topics covered: Weak and Strong Gravitational Fields, The Weak Field Expansion, Choice of Background Metric, Linear Part of the Ricci Tensor, Local Gauge Invariance, Gauge Conditions, Wave Equation and Explicit Solution in Terms of Retarded Potentials, Plane Wave Solution, Polarization Amplitudes, Transverse Traceless Modes as Physical Modes, Spin Two of the Graviton. Recorded May 22, 2014.

1. Introduction
2. Review of Lorentz Transformations, Energy, and Momentum
3. Tensor Algebra & Covariant Form of Maxwell's Equations
4. Angular Momentum & Relativistic Hydrodynamics
5. Equivalence Principle & Metric Tensors
6. Newtonian Limit & Gravitational Red Shift
7. General Relativity Time Dilation Effects in GPS Systems.
8. General Covariance & Affine Connection
9. Covariant Derivatives, Curls and Divergences
10. Fermi-Walker Transport & Riemann Curvature Tensor
11. Derivation of the Einstein Field Equations
12. Einstein-Hilbert Action & Brans-Dicke Theory
13. Field Equations for a Static Isotropic Metric
14. Schwarzschild Solution & Astrophysical Black Holes
15. Photon Orbits in the Schwarzschild Metric
16. Weak and Strong Gravitational Fields
17. Generation and Detection of Gravitational Waves
18. Lense-Thirring Effect & Mach's Principle
19. Field Equations for a Homogeneous Isotropic Metric
20. Gravitons & Quantum-Mechanical Field Fluctuations
21. Presentations: Kerr Metric, Gravitational Lensing, GW Detection
22. Presentations: Positive Energy Theorem & Curvature
23. Presentations: Dark Matter, MOND, & Cosmological Inflation
24. Presentations: Kaluza-Klein Theory & Diagrams for Quantum Gravity

"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.