As far as I can tell, in GR, the Chirstoffel symbol in the expression of the Connection is analogous to the vector potential, A, in the definition of the Covariant Derivative.(adsbygoogle = window.adsbygoogle || []).push({});

The Chirstoffel symbol compensates for changes in curvature and helps define what it means for a tensor to remain constant from one point to another.

Does this mean that the vector potential A is necessary to define what it means for a classical field to remain constant from one point to another? This doesn’t seem right because we still have A in Minkowski space expressions.

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# I Christoffel Symbol vs. Vector Potential

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