Welcome to the course web for Physics 565A, Spring Quarter 2002.
In this second quarter of the General Relativity sequence we will explore selected topics in General Relativity in greater depth than was possible in the introductory first quarter. We will begin with a discussion of the variational approach to the Einstein equations, both Lagrangian and Hamiltonian formulations. The description of hypersurfaces in spacetime, based on the concept of extrinsic curvature, will be introduced in this connection and will be extended to a discussion of surface layers and their dynamics. The formal theory of symmetries in spacetime, involving Killing vectors, will be discussed and applied to cosmological spacetimes and stationary, axisymmetric spacetimes. The Kerr metric will be described, and the theory of black holes will be outlined, based on analysis of the causal structure of spacetimes. Black hole uniqueness and singularity theorems will be discussed. The remainder of the course will explore such topics as cosmological perturbations, general relativity in higher dimensions (black holes, branes, etc.), numerical relativity, and alternative theories of gravity, with emphasis depending on time available and student interest. There will be homework assignments, and students will complete a term project investigating a particular topic to be chosen by the student in consultation with the instructor. There will no final exam.
The course meets 1:30 MWF in PAB B109.
Instructor: James M. Bardeen
Office: PAB B410 Phone: 685-2394 E-mail: bardeen@phys.washington.edu
Office hours by appointment, or drop by.
Text: Gravitation, Misner, Thorne, and Wheeler.