  This paper pursues a cohomological formulation for gravitation in which
gravity might be expressed in terms of a gravitational potential, much in the
spirit of electrodynamics. To this end we introduce a cochain complex
consisting of $(n+2)$-tensors, symmetric in two indices and skew-symmetric in
the remaining $n$ indices. The cohomology of the complex is shown to be
isomorphic to the \v{C}ech cohomology of an appropriately defined sheaf of
functions. Furthermore, it is demonstrated that in isotropic coordinates MP
spacetimes as well as the Schwarzschild black hole may be thusly represented,
that is, by means of the coboundary of a potential, as defined by the
differential operator of the complex.
