# What's the meaning of?

1. Sep 6, 2006

### lokofer

In SR you can write the Geodesic equation as:

$$\nabla _{u} u$$ where "u" is the 4-dimensional velocity..

Then my question is if we define the 10- component vector:

$$W= (g_{00}.g_{11},g_{22},g_{33},g_{01},g_{02},g_{03}.g_{12},g_{13},g_{23})$$

Then..what's the meaning of the Covariant derivative:

$$\nabla _{\dot W} \dot W$$ the "dot" means time derivative of the vector, i think if we could obtain "Einstein equations" in that form...