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We present a detailed study of the collapse of a spherical perturbation inDGP braneworld gravity for the purpose of modeling simulation results for thehalo mass function, bias and matter power spectrum. The presence of evolvingmodifications to the gravitational force in form of the scalar brane-bendingmode lead to qualitative differences to the collapse in ordinary gravity. Inparticular, differences in the energetics of the collapse necessitate a new,generalized method for defining the virial radius which does not rely on strictenergy conservation. These differences and techniques apply to smooth darkenergy models with w unequal -1 as well. We also discuss the impact of theexterior of the perturbation on collapse quantities due to the lack of aBirkhoff theorem in DGP. The resulting predictions for the mass function, halobias and power spectrum are in good overall agreement with DGP N-bodysimulations on both the self-accelerating and normal branch. In particular, theimpact of the Vainshtein mechanism as measured in the full simulations ismatched well. The model and techniques introduced here can serve as practicaltools for placing consistent constraints on braneworld models usingobservations of large scale structure.

Spherical Collapse and the Halo Model in Braneworld Gravity