Monge-Ampère gravity: From the large deviation principle to cosmological simulations through optimal transport
Monge-Ampère gravity: From the large deviation principle to cosmological simulations through optimal transport
We study Monge-Amp\`ere gravity (MAG) as an effective theory of cosmological structure formation through optimal transport theory. MAG is based on the Monge-Amp\`ere equation, a nonlinear version of the Poisson equation, that relates the Hessian determinant of the potential to the density field. We explain how MAG emerges from a …