The integrated curvature depends only upon the topology of spacetime. (Euler number)
An accelerated observer coordinate drawn in a spacetime diagram traces hyperbolas. Rindler coordinates describe a uniformly accelerated coordinate frame. Rindler space has a horizon.
Birkhoff's theorem: a spherically symmetric mass disbribution atracts as if the distribution was concentrated at a point. The solution to Einstein's equations outside a point is the Schwarzschild metric.
- Local inertial coordinates
- Rindler coordinates
- Schwarzschild metric
- Birkhoff's theorem