GR4 · The Einstein field equations
A 21-module path through gr4 · the einstein field equations, in study order from foundations to the frontier.
Modules
- The Stress-Energy Tensor
- Local Conservation of Energy-Momentum
- Perfect Fluid Stress-Energy
- The Einstein Field Equations
- The Einstein Tensor
- The Newtonian Limit
- The Weak-Field Approximation
- The Cosmological Constant
- The Einstein-Hilbert Action
- Variational Derivation of the Field Equations
- The Gibbons-Hawking-York Boundary Term
- Variational Definition of Stress-Energy
- The Energy Conditions
- The Strong Energy Condition
- The Dominant Energy Condition
- The Linearized Field Equations
- The Trace-Reversed Metric Perturbation
- Gauge Transformations in Linearized Gravity
- The Lorenz Gauge in Linearized Gravity
- The Vacuum Field Equations
- Coupling of Matter to Gravity