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gr-qc2024
Monge-Ampère gravity, optimal transport theory and their link to the Galileons
Albert Bonnefous, Yann Brenier, Roya Mohayaee
Mathematicians have been proposing for sometimes that Monge-Ampère equation, a nonlinear generalization of the Poisson equation, where trace of the Hessian is replaced by its deter…
astro-ph.CO2024
Monge Ampère gravity: from the large deviation principle to cosmological simulations through optimal transport
Bruno Lévy, Yann Brenier, Roya Mohayaee
We study Monge-Ampère gravity (MAG) as an effective theory of cosmological structure formation through optimal transport theory. MAG is based on the Monge-Ampère equation, a nonlin…