Simulations of Galileon modified gravity: Clustering statistics in real
  and redshift space
  We use N-body simulations to study the statistics of massive halos and
redshift space distortions for theories with a standard \Lambda CDM expansion
history and a galileon-type scalar field. The extra scalar field increases the
gravitational force, leading to enhanced structure formation. We compare our
measurements of the real space matter power spectrum and halo properties with
fitting formula for estimating these quantities analytically. We find that a
model for power spectrum, halo mass-function and halo bias, derived from
\Lambda CDM simulations can fit the results from our simulations of modified
gravity when \sigma_8 is appropriately adjusted. We also study the redshift
space distortions in the two point correlation function measured from these
simulations, finding a difference in the ratio of the redshift space to real
space clustering amplitude relative to standard gravity on all scales. We find
enhanced clustering on scales r>10 Mpc/h and increased damping of the
correlation function for scales r<9 Mpc/h. The boost in the clustering on large
scales due to the enhanced gravitational forces cannot be mimicked in a
standard gravity model by simply changing \sigma_8. This result illustrates the
usefulness of redshift space distortion measurements as a probe of
modifications to General Relativity.
