For a comparison of the geometric derivation and the (non-geometric) spin-2 field derivation of general relativity, refer to box 18.1 (and also 17.2.5) of Misner, C. W.· Thorne, K. S.· Wheeler, J. A. (1973). Gravitation. W. H. Freeman. ISBN0-7167-0344-0.
arxiv.org
Rovelli, C. (2001). «Notes for a brief history of quantum gravity».