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In a paper dealing with graviton-photon interactions, the author starts from this Lagrangian for gravitation:

$$ \mathcal{L} = \frac{ \sqrt{-g}}{\kappa^2} g^{\mu \nu} \left( \Gamma^{\alpha}_{\, \, \mu \nu} \Gamma^{\beta}_{\, \, \alpha \beta} - \Gamma^{\beta}_{\, \, \mu \alpha} \Gamma^{\alpha}_{\, \, \nu \beta} \right) $$

The factor in the parenthesis should be the Ricci tensor, but two terms seem to be missing, the $\partial \Gamma$ terms.

Am I missing something here?

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    $\begingroup$ $\uparrow$ Which paper? Which page? $\endgroup$
    – Qmechanic ♦
    Commented Feb 14, 2017 at 15:36
  • $\begingroup$ Skobelev 1975., "Graviton-photon interaction", but it's not that relevant to the question itself. $\endgroup$
    – user20250
    Commented Feb 14, 2017 at 15:46
  • $\begingroup$ dx.doi.org/10.1007/BF00889810 $\endgroup$
    – Qmechanic ♦
    Commented Feb 14, 2017 at 15:49

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These partial derivatives can be brought to total derivatives

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