  We discuss the extension to redshift space of a rescaling algorithm, designed
to alter the effective cosmology of a pre-existing simulated particle
distribution or catalogue of dark matter haloes. The rescaling approach was
initially developed by Angulo & White and was adapted and applied to halo
catalogues in real space in our previous work. This algorithm requires no
information other than the initial and target cosmological parameters, and it
contains no tuned parameters. It is shown here that the rescaling method also
works well in redshift space, and that the rescaled simulations can reproduce
the growth rate of cosmological density fluctuations appropriate for the target
cosmology. Even when rescaling a grossly non-standard model with Lambda=0 and
zero baryons, the redshift-space power spectrum of standard LCDM can be
reproduced to about 5% error for k<0.2h Mpc^-1. The ratio of
quadrupole-to-monopole power spectra remains correct to the same tolerance up
to k=1h Mpc^-1, provided that the input halo catalogue contains measured
internal velocity dispersions.
