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We determine the number counts to second order in cosmological perturbationtheory in the Poisson gauge and allowing for anisotropic stress. Thecalculation is performed using an innovative approach based on the recentlyproposed "geodesic light-cone" gauge. This allows us to determine the numbercounts in a purely geometric way, without using Einstein's equation. The resultis valid for general dark energy models and (most) modified gravity models. Wethen evaluate numerically the relevant contributions to the number countsbispectrum. In particular we consider the terms involving the density, redshiftspace distortion and lensing.

Galaxy number counts to second order and their bispectrum