I have started reading about the Lagrangian in General Relativity, in relation to the Einstein-Hilbert action, and there is something that does not make sense to me. The Lagrangian is split into two pieces, one derived from the Ricci curvature and the other labeled L_matter, so far so good.(adsbygoogle = window.adsbygoogle || []).push({});

What I find odd is that the Ricci curvature part of the Lagrangian is proportional to 1/G. This seems a contradiction with the way gravity is always described as much weaker than the other forces, as represented by a very small value for G. Why then is the gravitational part of the Lagrangian proportional to 1/G, which would be a very large number if G is small. I would have expected the gravity contribution to the Lagrangian to be smaller than the other forces' contribution. What am I missing?

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# Why 1/G in GR Lagrangian?

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