  The so-called $\Gamma\Gamma$-form of the gravitational Lagrangian, long known
to provide its most compact expression as well as the most efficient generation
of the graviton vertices, is taken as the starting point for discussing General
Relativity as a theory of the self-interacting graviton. A straightforward but
general method of converting to a covariant formulation by the introduction of
a reference metric is given. It is used to recast the Einstein field equation
as the equation of motion of a spin-2 particle interacting with the canonical
energy-momentum tensor symmetrized by the standard Belinfante method applicable
to any field carrying nonzero spin. This represents the graviton field equation
in a form complying with the precepts of standard field theory. It is then
shown how representations based on other, at face value completely unrelated
definitions of energy-momentum (pseudo)tensors are all related by the addition
of appropriate superpotential terms. Specifically, the superpotentials are
explicitly constructed which connect to: i) the common definition consisting
simply of the nonlinear part of the Einstein tensor; ii) the Landau-Lifshitz
definition.
