Justin Corvino: Constructing Initial Data for Einstein Equations 3 скачать в хорошем качестве

Justin Corvino: Constructing Initial Data for Einstein Equations 3

Summer School »Between Geometry and Relativity«, Part 7: Justin Corvino: Constructing Initial Data for Einstein Equations 2 Abstract: Initial data sets for the Einstein equation must satisfy a nonlinear elliptic system, the Einstein constraint equations. We formulate the constraint equations in the context of initial data sets, and develop methods to produce solutions of these equations. In particular, we will discuss interesting solutions which can be constructed by gluing techniques. Such techniques can be used for connecting multiple initial data sets, or for understanding the asymptotic structure of isolated systems. 1. Lead 00:00:00 2. More on the conformal method 00:00:10 3. Conformal Killing vectors 00:12:42 4. A theorem on the Lichnerowicz equation 00:26:05 5. Solving the constraints by gluing 00:31:38 6. Scalar curvature gluing 00:48:45