Title: Black hole lattices as Inhomogeneous cosmological models.

Abstract: The need to test whether the large-scale expansion of space is that of FLRW, or is instead modified by the presence of inhomogeneities, has lead to the homogeneity assumption in cosmology being relaxed. An interesting subset of inhomogeneous cosmologies include the black hole lattices. These are exact, fully-relativistic treatments of universes with a discretised matter content. We generalise an existing family of these to include a cosmological constant, structure formation and a non-GR theory of gravity. For each new generalisation, we find a common behaviour of tending towards FLRW-like as the number of masses is increased, and for the addition of structures, we investigate the effect of gravitational interaction energies between clustered masses.