- #1
space-time
- 218
- 4
In the formula for Christoffel symbols:
[itex]\Gamma[/itex]mij= [itex]\frac{1}{2}[/itex]gmk[(∂gki/∂xj) + (∂gjk/∂xi) - (∂gij/∂xk)
you do sum over k right?
I know this probably seems like a rather "noob-like" question and I know about Einstein summation convention. I am just asking because with previous Christoffel symbols I derived, they were in simple coordinate systems such as spherical and cylindrical, so I was just able to set k = m due to the fact that the metric tensors only had non-zero diagonal components.
[itex]\Gamma[/itex]mij= [itex]\frac{1}{2}[/itex]gmk[(∂gki/∂xj) + (∂gjk/∂xi) - (∂gij/∂xk)
you do sum over k right?
I know this probably seems like a rather "noob-like" question and I know about Einstein summation convention. I am just asking because with previous Christoffel symbols I derived, they were in simple coordinate systems such as spherical and cylindrical, so I was just able to set k = m due to the fact that the metric tensors only had non-zero diagonal components.