Café-Club, Pierre BOLDRINI: “ΛCDM cosmological simulation of Monge-Ampère gravity via optimal transport theory”.

Pierre BOLDRINI (Institut d’Astrophysique de Paris): “ΛCDM cosmological simulation of Monge-Ampère gravity via
optimal transport theory”.

You can find the schedule of upcoming café-clubs and the video of old ones here.

Take care,
Carlo, Meriam, Mathilde

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ABSTRACT

Monge-Ampère gravitation is a modification of the classical Newtonian gravity where the linear Poisson equation is replaced by the nonlinear Monge-Ampère equation. First, I will show how Monge-Ampère gravity emerges from a system of non-interacting Brownian particles, through the application of the large deviation principle. Then, I will present the results of the first cosmological N-body simulation of Monge-Ampère gravity, which is solved by a performant semi-discrete algorithm based on optimal transport theory. Analysis of evolution of power spectra shows that the Monge-Ampère equation produces less power on small scales and more on large scales than the Poisson equation. Besides, a tentative first study of density profile of haloes, indicate that MA gravity might primarily result in dark matter core central profiles.