# Riemann tensor in normal coordinates (General Relativity)

1. Apr 2, 2010

### alcoholicsephiroth

1. The problem statement, all variables and given/known data

Find a simplified expression for the Riemann tensor in terms of the connection in normal coordinates.

2. Relevant equations

Riemann tensor = (derivative of connection term) - (derivative of connection term) - (connection term)(connection term) - (connection term)(connection term)

3. The attempt at a solution

My solution is

Riemann tensor = (derivative of connection term) - (derivative of connection term)

, where I have used the fact that the connections evaluated at point P are all 0, but their derivatives are not necessarily 0.

My problem is that 3 MARKS are allocated to this question (from a possible 60 marks in a 2 hour paper), and that this looks far too simple a solution for 3 marks.

What am I missing?

Trev
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution