Vladmir Sicca (McGill University)

Title: The Lichnerowicz Equation for Einstein's General Relativity
Abstract: A solution to Lichnerowicz equation gives a Riemannian manifold that can be an initial condition for Einstein's equation in General Relativity. In this talk I will introduce how Lichnerowicz equation fits in the context of General Relativity and present an existence result for the equation proved by Hebey, Pacard and Pollack. The core of the result relies on the mountain pass lemma, which will also be presented in the talk