(adsbygoogle = window.adsbygoogle || []).push({}); Need help!!! MTW's Gravitation exercise 16.1!!!

I am working on MTW's Gravitation and I came across a problem. In the attachment View attachment 50292 , I show my calculation and, finally, I show the contradiction that is,

you can get a vanishing [itex]\Gamma^k_{\phantom{k}kk}[/itex] with Cartan's equation

but, at the same time,

you can also get a non-vanishing [itex]\Gamma^k_{\phantom{k}kk}[/itex] by simply inserting metric into the definition of connection coefficients.

What's wrong with my calculation? I need your help. Thank you!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Need help MTW's Gravitation exercise 16.1

**Physics Forums | Science Articles, Homework Help, Discussion**