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Theoretical differences in the growth of structure offer the possibility thatwe might distinguish between modified gravity theories of dark energy and\LambdaCDM. A significant impediment to applying current and prospective largescale galaxy and weak lensing surveys to this problem is that, while the mildlynonlinear regime is important, there is a lack of numerical simulations ofnonlinear growth in modified gravity theories. A major question exists as towhether existing analytical fits, created using simulations of standardgravity, can be confidently applied. In this paper we address this, presentingresults of N-body simulations of a variety of models where gravity is alteredincluding the Dvali, Gabadadze and Porrati model. We consider modificationsthat alter the Poisson equation and also consider the presence of anisotropicshear stress that alters how particles respond to the gravitational potentialgradient. We establish how well analytical fits of the matter power spectrum byPeacock and Dodds and Smith et al. are able to predict the nonlinear growthfound in the simulations from z=50 up to today, and also consider implicationsfor the weak lensing convergence power spectrum. We find that the analyticalfits provide good agreement with the simulations, being within 1\sigma of thesimulation results for cases with and without anisotropic stress and forscale-dependent and independent modifications of the Poisson equation. Nostrong preference for either analytical fit is found.

Nonlinear growth in modified gravity theories of dark energy