Accelerated coordinates

General Relativity (Fall, 2008)

December 1, 2008

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