  We construct a wide class of black hole solutions to the general theory of
ghost free multi-metric gravity in arbitrary spacetime dimension, extending and
generalising the known results in 4-dimensional dRGT massive gravity and
bigravity. The solutions are split into three generic classes based on whether
the metrics can be simultaneously diagonalised - one of which does not exist in
dRGT massive gravity nor bigravity, and is only possible when one has more than
two interacting metric fields. We also linearise the general multi-metric
theory to determine the dynamics of the massive spin-2 modes, including
examples where this can be done analytically, and use the linear theory to
discuss the stability of the 4-dimensional multi-Schwarzchild and multi-Kerr
solutions. We explain how the instabilities that plague these solutions in dRGT
massive gravity and bigravity carry across to the general multi-metric theory,
touching upon ideas of dimensional deconstruction to make sense of the results.
