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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.

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    $\begingroup$ Related question: physics.stackexchange.com/q/46324 $\endgroup$ – Murod Abdukhakimov Feb 5 '14 at 15:17
  • $\begingroup$ Not knowing the answer myself, I am aware of this book that you might be interested in... $\endgroup$ – Ralph Mellish Feb 5 '14 at 15:18
  • $\begingroup$ @Hunter: Also, Hehl gave lectures on the above book, that you can watch here. $\endgroup$ – Ralph Mellish Feb 5 '14 at 15:20
  • $\begingroup$ @MurodAbdukhakimov thanks! That does indeed answer my question. This question can be closed. $\endgroup$ – Hunter Feb 5 '14 at 15:26