We review the effect of the formation of nonlinear structures on the expansion rate, spatial
curvature, and light propagation in the universe, focusing on the possibility that this effect …

Attempts to estimate the influence of global cosmological expansion on local systems are
reviewed. Here “local” is taken to mean that the sizes of the considered systems are much …

We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of
cosmological large scale structures. Unlike the previous Eulerian-space construction, it is …

The effective evolution of an inhomogeneous universe model in any theory of gravitation
may be described in terms of spatially averaged variables. In Einstein's theory, restricting …

We study the generation of vorticity and velocity dispersion by orbit crossing using
cosmological numerical simulations, and calculate the backreaction of these effects on the …

We discuss the physics of backreaction-driven accelerated expansion. Using the exact
equations for the behaviour of averages in dust universes, we explain how large-scale …

A large-scale smoothed-out model of the universe ignores small-scale inhomogeneities, but
the averaged effects of those inhomogeneities may alter both observational and dynamical …

We investigate large-scale structure formation of collisionless dark matter in the phase
space description based on the Vlasov (or collisionless Boltzmann) equation whose …

Semi-analytical methods, based on Eulerian perturbation theory, are a promising tool to
follow the time evolution of cosmological perturbations at small redshifts and at mildly …

A semianalytic formation model for the large-scale structure of the Universe (from a few to
hundreds of megaparsecs) is discussed. The model is a natural generalization of …