  A Newtonian uniform ball expanding in empty space constitutes a common
heuristic analogy for FLRW cosmology. We discuss possible implementations of
the corresponding general-relativistic problem and a variety of new
cosmological analogies arising from them. We highlight essential ingredients of
the Newtonian analogy, including that the quasilocal energy is always
`Newtonian' in the sense that the magnetic part of the Weyl tensor does not
contribute to it. A symmetry of the Einstein-Friedmann equations produces
another one in the original Newtonian system.
