View Single Post
Apr21-11, 05:07 PM
P: 582
If torsion = anti-symmetric part of the connection coefficients, and

[tex]\Gamma_{\alpha\beta\gamma}=\frac{1}{2}(g_{\alpha\beta,\gamma}+g_{\alpha \gamma,\beta}-g_{\beta\gamma,\alpha})[/tex]

then doesn't the metric have to have an antisymmetric component? The first two terms on RHS are together necessarily symmetric in beta and gamma. The only asymmetry in the beta and gamma indeces can come from the third term.
Phys.Org News Partner Science news on
Climate change increases risk of crop slowdown in next 20 years
Researcher part of team studying ways to better predict intensity of hurricanes
New molecule puts scientists a step closer to understanding hydrogen storage