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I have studied the first five chapters of Carroll's book (up to the Schwarzschild solution). I see similarities to the Yang-Mill theories such as the covariant derivative to account for curvature in GR which is similar to the covariant derivative to account for local gauge transformations in Yang-Mill theories. I have heard that some consider GR to be a gauge theory, but I do not understand what the redundant degrees of freedom are required to make it gauge theory.

Hunter
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