Topics in Differential Geometry: Mathematical Relativity

Richard Schoen, 383-T, 725-0854, schoen "at" math

TuTh 11-12:15, 381T

Office hours: Tu 1:30-3:30 or by appointment

This will be a course in Mathematical General Relativity. We will assume knowledge of Riemannian Geometry and basic PDE, but only minimal knowledge of physical notions. We will introduce the Einstein equations including a discussion of some of the important exact solutions including the Schwarzschild and Kerr solutions as well as the standard cosmological models (Friedman-Robertson-Walker). We will then focus on general notions including basic Lorentzian geometry, the Cauchy problem for the Einstein Equations, and gravitational energy and momentum. Lecture notes will be posted for many of the topics covered.

Reference material

Here are lectue notes from a course given in the spring of 2009. Some of the topics I will cover are in these notes.