  We consider several pressureless variants of the compressible Euler equation
driven by nonlocal repulsionattraction and alignment forces with Poisson
interaction. Under an energy admissibility criterion, we prove existence of
global measure-valued solutions, i.e., very weak solutions described by a
classical Young measure together with appropriate concentration defects. We
then investigate the evolution of a relative energy functional to compare a
measure-valued solution to a regular solution emanating from the same initial
datum. This leads to a (partial) weak-strong uniqueness principle.
