Monge-Amp\`ere gravity, optimal transport theory and their link to the
Galileons
Monge-Amp\`ere gravity, optimal transport theory and their link to the
Galileons
Mathematicians have been proposing for sometimes that Monge-Amp\`ere equation, a nonlinear generalization of the Poisson equation, where trace of the Hessian is replaced by its determinant, provides an alternative non-relativistic description of gravity. Monge-Amp\`ere equation is affine invariant, has rich geometric properties, connects to optimal transport theory, and remains bounded …