Metric tensor

How do we derive the metric tensor?

robphy
Homework Helper
Gold Member

HallsofIvy
The derivation of things like the Schwarzchild metric in relativity is found by solving $$R_{ab}=0$$ for a static, spherically symmetric space-time with $$T_{ab}=0$$. It's essentially solving the Einstein Field Equations for certain conditions (as all black hole metric's are).