The BEHOMO project: $\Lambda$LTB $N$-body simulations
  Our Universe may feature large-scale inhomogeneities and anisotropies which
cannot be explained by the standard model of cosmology, that is, the
homogeneous and isotropic FLRW metric, on which the $\Lambda$CDM model is
built, may not describe accurately observations. Currently, there is not a
satisfactory understanding of the evolution of the large-scale structure on an
inhomogeneous background. We start the cosmology beyond homogeneity and
isotropy (BEHOMO) project and study the inhomogeneous $\Lambda$LTB model with
the methods of numerical cosmology. Understanding the evolution of the
large-scale structure is a necessary step to constrain inhomogeneous models
with present and future observables and place the standard model on more solid
grounds. We perform Newtonian $N$-body simulations, whose accuracy in
describing the background evolution is checked against the general relativistic
solution. The large-scale structure of the corresponding $\Lambda$CDM
simulation is also validated. We obtain the first set of simulations of the
$\Lambda$LTB model ever produced. The data products consist of 11 snapshots
between redshift 0 and 3.7 for each of the 68 simulations that have been
performed, together with halo catalogs and lens planes relative to 21
snapshots, between redshift 0 and 4.2, for a total of approximately 180 TB of
data. We plan to study the growth of perturbations at the linear and nonlinear
level, gravitational lensing, cluster abundances and proprieties. Data can be
obtained upon request. Further information is available at
valerio-marra.github.io/BEHOMO-project .
