Discrete Newtonian Cosmology: Perturbations
  In a previous paper [arXiv:1308.1852] we showed how a finite system of
discrete particles interacting with each other via Newtonian gravitational
attraction would lead to precisely the same dynamical equations for homothetic
motion as in the case of the pressure-free
Friedmann-Lema\^{i}tre-Robertson-Walker cosmological models of General
Relativity Theory, provided the distribution of particles obeys the central
configuration equation. In this paper we show one can obtain perturbed such
Newtonian solutions that give the same linearised structure growth equations as
in the general relativity case. We also obtain the Dmitriev-Zeldovich equations
for subsystems in this discrete gravitational model, and show how it leads to
the conclusion that voids have an apparent negative mass.
