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We examine how coupled dark matter and dark energy modify the development ofZel'dovich pancakes. We study how the various effects of these theories, suchas a fifth force in the dark sector and a modified particle Hubble drag,produce variations in the redshifts of caustic formation and the present-daydensity profiles of pancakes. We compare our results in direct simulation to aperturbation theory approach for the dark energy scalar field. We determine therange of initial scalar field amplitudes for which perturbation theory isaccurate in describing the development of the pancakes. Notably, we find thatperturbative methods which neglect kinetic terms in the scalar field equationof motion are not valid for arbitrarily small perturbations. We also examinewhether models that have been tuned to match the constraints of currentobservations can produce new observable effects in the nonlinear structure ofpancakes. Our results suggest that a fully realistic three-dimensionalsimulation will produce significant new observable features, such asmodifications to the mass function and halo radial density profile shapes, thatcan be used to distinguish these models from standard concordance cosmology andfrom each other.

Structure and evolution of Zel'dovich pancakes as probes of dark energy models