previous | top | next

Metric Solves Grav. Gauss' Law (1/2)


  1. Start with Gen. Gauss' law:


  2. Assume no electric charges or electromagnetic fields. Assume static:


  3. Write out covariant derivative:


  4. Want everything to depend on the metric like in general relativity. Choose a potential such that :

Note: the divergence of the Christoffel symbol, cool!
sweetser@alum.mit.edu