- #1

tunafish

- 11

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1) I know that General relativity may also be seen as a gauge theory, but which kind of gauge group is used there??

2) In the gauge theory wiew the Christoffel symbols [itex]\Gamma^{\alpha}_{\mu\kappa}[/itex] in the covariant derivative [tex]\nabla_{\mu}\vec{U}=\left(\frac{\partial U^{\alpha}}{\partial x^{\mu}}+U^{\kappa}\Gamma^{\alpha}_{\mu\kappa} \right)\vec{e}_{\alpha}[/tex] takes the role of the gauge fields, and so I (should) be able to express them in function of the generators of the Lie algebra, but what kind of Lie algebra am I supposed to use? And what are its generators??Thanks for your help! (first post!)