Covariant differentiation and geodesics

General Relativity (Fall, 2008)

October 20, 2008

Transformation properties of tensors are most important.
Covariant differentiation transforms covariantly.
The covariant derivative of the metric tensor vanishes.
Construct the Christoffel symbol from the metric tensor.
A geodesic curve is defined as the curve tangent to itself.
Particles in space move along geodesics.

  • Covariant derivative
  • Christoffel symbol
  • Geodesic